22643510564424 has 256 divisors, whose sum is σ = 61042886150400. Its totient is φ = 6974263296000.

The previous prime is 22643510564399. The next prime is 22643510564431. The reversal of 22643510564424 is 42446501534622.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3870021099 + ... + 3870026949.

It is an arithmetic number, because the mean of its divisors is an integer number (238448774025).

Almost surely, 2^{22643510564424} is an apocalyptic number.

22643510564424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22643510564424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30521443075200).

22643510564424 is an abundant number, since it is smaller than the sum of its proper divisors (38399375585976).

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

22643510564424 is a wasteful number, since it uses less digits than its factorization.

22643510564424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 22643510564424 in words is "twenty-two trillion, six hundred forty-three billion, five hundred ten million, five hundred sixty-four thousand, four hundred twenty-four".