sorry not sure what common terms that could be put into for us non-mathy people, is that
46,126,353,000,000,000,000,000 sextillion? or Just over 46 Thousand Trillion?
"x10^22" just means you multiply it by 10,000,000,000,000,000,000,000... so yes, 46,126,353,000,000,000,000,000 is correct, as is 46 sextillion. But that's way more than 46 Thousand Trillion... it's 46 thousand quintillion, or 46 thousand thousand thousand trillion.
To get an idea of size... that's about 46 times as many stars as there are in the observable universe.
To have played them all, you would need to have played about 100,000 games PER SECOND, every second, since the beginning of time.
People are always amazed at how crazy huge our universe is, but in the world of math, our universe only deals with tiny numbers.