22557636864 has 405 divisors, whose sum is σ = 78773126817. Its totient is φ = 6401783808.

The previous prime is 22557636811. The next prime is 22557636869. The reversal of 22557636864 is 46863675522.

The square root of 22557636864 is 150192.

It is a perfect power (a square), and thus also a powerful number.

22557636864 is a `hidden beast` number, since 2 + 2 + 5 + 576 + 3 + 6 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2642782464 + 19914854400 = 51408^2 + 141120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22557636864.

It is not an unprimeable number, because it can be changed into a prime (22557636869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 151393462 + ... + 151393610.

Almost surely, 2^22557636864 is an apocalyptic number.

22557636864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22557636864 is the 150192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22557636864

22557636864 is an abundant number, since it is smaller than the sum of its proper divisors (56215489953).

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

22557636864 is an frugal number, since it uses more digits than its factorization.

22557636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 161 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 22557636864 in words is "twenty-two billion, five hundred fifty-seven million, six hundred thirty-six thousand, eight hundred sixty-four".