22801113926568 has 256 divisors, whose sum is σ = 67513214361600. Its totient is φ = 7113464582400.

The previous prime is 22801113926557. The next prime is 22801113926629. The reversal of 22801113926568 is 86562931110822.

22801113926568 is a `hidden beast` number, since 2 + 2 + 80 + 111 + 392 + 6 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1179378630 + ... + 1179397962.

It is an arithmetic number, because the mean of its divisors is an integer number (263723493600).

Almost surely, 2^{22801113926568} 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 22801113926568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33756607180800).

22801113926568 is an abundant number, since it is smaller than the sum of its proper divisors (44712100435032).

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

22801113926568 is a wasteful number, since it uses less digits than its factorization.

22801113926568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24469 (or 24459 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 22801113926568 in words is "twenty-two trillion, eight hundred one billion, one hundred thirteen million, nine hundred twenty-six thousand, five hundred sixty-eight".