22656449088 has 504 divisors, whose sum is σ = 84404191872. Its totient is φ = 5972714496.

The previous prime is 22656449051. The next prime is 22656449089. The reversal of 22656449088 is 88094465622.

22656449088 is a `hidden beast` number, since 2 + 26 + 56 + 4 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (22656449089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9905481 + ... + 9907767.

Almost surely, 2^22656449088 is an apocalyptic number.

22656449088 is a gapful number since it is divisible by the number (28) 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 22656449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42202095936).

22656449088 is an abundant number, since it is smaller than the sum of its proper divisors (61747742784).

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

22656449088 is a wasteful number, since it uses less digits than its factorization.

22656449088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 22656449088 in words is "twenty-two billion, six hundred fifty-six million, four hundred forty-nine thousand, eighty-eight".