22656856128 has 112 divisors (see below), whose sum is σ = 63195525120. Its totient is φ = 7144118784.

The previous prime is 22656856121. The next prime is 22656856151. The reversal of 22656856128 is 82165865622.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22656856121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2647825 + ... + 2656367.

It is an arithmetic number, because the mean of its divisors is an integer number (564245760).

Almost surely, 2^22656856128 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 22656856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31597762560).

22656856128 is an abundant number, since it is smaller than the sum of its proper divisors (40538668992).

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

22656856128 is a wasteful number, since it uses less digits than its factorization.

22656856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 9294 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 22656856128 in words is "twenty-two billion, six hundred fifty-six million, eight hundred fifty-six thousand, one hundred twenty-eight".