22022934979600 has 405 divisors, whose sum is σ = 55741427407461. Its totient is φ = 8361550233600.

The previous prime is 22022934979453. The next prime is 22022934979603. The reversal of 22022934979600 is 697943922022.

The square root of 22022934979600 is 4692860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 22005218304784 + 17716674816 = 4690972^2 + 133104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22022934979603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 227040566752 + ... + 227040566848.

Almost surely, 2^{22022934979600} is an apocalyptic number.

22022934979600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22022934979600 is the 4692860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022934979600

22022934979600 is an abundant number, since it is smaller than the sum of its proper divisors (33718492427861).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22022934979600 is an frugal number, since it uses more digits than its factorization.

22022934979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 22022934979600 in words is "twenty-two trillion, twenty-two billion, nine hundred thirty-four million, nine hundred seventy-nine thousand, six hundred".