The power consumption is the integral of the current your device takes for each voltage of the AC cycle. Different devices do all kinds of different things during that cycle, so it's not simple to communicate it in a number.
Your grid power consumption is probably measured in terms of current alone. That means that the number on your power bill is different from the amount of energy your devices dissipate as heat. That measurement is converted into power using the RMS trick, but there is no guarantee that it will exactly match the actual power consumption of your house.
Your UPSs has different limitations for real power, current, and peak current. And your house wiring (or better, any wiring) has limitations for (windowed) average current (with many different limits for different window sizes). Wiring also has a limitation for voltage, but it's usually high enough to not matter on normal usage.
As a rule, with AC, there are so many degrees of freedom that any question becomes hard to answer.