22464092536900 has 81 divisors (see below), whose sum is σ = 56706625380279. Its totient is φ = 7701860832960.

The previous prime is 22464092536883. The next prime is 22464092536909. The reversal of 22464092536900 is 963529046422.

The square root of 22464092536900 is 4739630.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11120237428804 + 11343855108096 = 3334702^2 + 3368064^2 .

It is a super-2 number, since 2×22464092536900² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22464092536909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331740246 + ... + 331807954.

Almost surely, 2^{22464092536900} is an apocalyptic number.

22464092536900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22464092536900 is the 4739630-th square number.

It is an amenable number.

22464092536900 is an abundant number, since it is smaller than the sum of its proper divisors (34242532843379).

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

22464092536900 is an frugal number, since it uses more digits than its factorization.

22464092536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135446 (or 67723 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 22464092536900 in words is "twenty-two trillion, four hundred sixty-four billion, ninety-two million, five hundred thirty-six thousand, nine hundred".