22561536445600 has 144 divisors (see below), whose sum is σ = 58010198234688. Its totient is φ = 8551564144640.

The previous prime is 22561536445573. The next prime is 22561536445687. The reversal of 22561536445600 is 654463516522.

22561536445600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22561536445600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3760969 + ... + 7698568.

It is an arithmetic number, because the mean of its divisors is an integer number (402848598852).

Almost surely, 2^{22561536445600} is an apocalyptic number.

22561536445600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22561536445600 is an abundant number, since it is smaller than the sum of its proper divisors (35448661789088).

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

22561536445600 is a wasteful number, since it uses less digits than its factorization.

22561536445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459687 (or 11459674 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 22561536445600 in words is "twenty-two trillion, five hundred sixty-one billion, five hundred thirty-six million, four hundred forty-five thousand, six hundred".