Being in a major metro area, the longest sustained storm outage I've had to deal with so far was about 5 days. I tried to bring all my frozen foods into the fridge at work, but the freezer didn't work in their unit. Grrr.
I don't feel the need to pretend that life is normal in such situations and don't have anything as ambitious as a powerwall, but after enough outages I learned what the essentials were and have built up accordingly. Cooking via camp stove or charcoal grill (or solar - my automobile dashboard clocks at over 145 degrees!), light via LED lights with solar-recharged, hot water from a camp shower. USB fans for after the post-storm coolness passes. Raspberry Pi powered off 12 UPS battery, solar recharged via a 25W panel, ditto for charging phones/tablets, etc.
The hardest part was saving the refrigerator. It would take about 3600W for a generator that would get used only once every 2-3 years so the seals rot and gasoline drips on the hot motor. And the gas stations are all going to be useless when you run out. So I got some solar panels, an inverter and an icemaker.
Back when my last-but-one refrigerator died I lived out of an ice chest for about a week and estimated that I needed about 10lbs of ice per day to keep it going. The current crop of tabletop icemakers can spit out 28 lbs of ice in 24 hours and mine pulls only 104 watts, so with a better-insulated ice chest I figured I was set. Until last September when I fired it up and the water line clogged and the ice was grossly undersized. A replacement pump and better line routing have fixed that, but when I saw ads for refrigerator/freezers that run straight off 12V for about the same price, I jumped.
It's not a large unit, but it will hold all the frozen dinners and keep them at -4 degrees F. And, unlike the icemaker, runs straight from the solar battery with no need for an inverter. And it pulls about 48 Watts.
It's not as impressive as a multi-kilowatt keep-the-AC-running system, but it's cheap and addresses the essentials. Just by way of comparison.
To run a full-sized refrigerator, the old figure I'd heard was to expect a draw of about 1KW/hr. Probably newer ones do better, but I cannot easily get to my power cord to measure what I'm currently using. Note that KW/hr per day is only meaningful when computing your electric bill. KWH can tell you how fast you'll draw down the batteries, but the ultimate factor is the max amperage (Watts) the unit requires. My icemaker nominally draws 104 Watts, but when the compressor motor first kicks in, it spikes to about 600W. I have to get a 1KW inverter to run it because even a 500W inverter would trip on that overload, even though it probably only lasts a few milliseconds. The same restrictions apply to large refrigeration units as well. You can avoid this problem by getting a propane-powered refrigerator, but they tend to be overpriced and under-sized due to lack of popular market interest (except in camping units).