22561624834624 has 112 divisors (see below), whose sum is σ = 46295480476672. Its totient is φ = 10897908480000.

The previous prime is 22561624834607. The next prime is 22561624834643. The reversal of 22561624834624 is 42643842616522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3283597909 + ... + 3283604779.

It is an arithmetic number, because the mean of its divisors is an integer number (413352504256).

Almost surely, 2^{22561624834624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22561624834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23147740238336).

22561624834624 is an abundant number, since it is smaller than the sum of its proper divisors (23733855642048).

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

22561624834624 is a wasteful number, since it uses less digits than its factorization.

22561624834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9546 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 55.

The spelling of 22561624834624 in words is "twenty-two trillion, five hundred sixty-one billion, six hundred twenty-four million, eight hundred thirty-four thousand, six hundred twenty-four".