22456092672 has 504 divisors, whose sum is σ = 73717002450. Its totient is φ = 6831931392.

The previous prime is 22456092661. The next prime is 22456092677. The reversal of 22456092672 is 27629065422.

22456092672 is a `hidden beast` number, since 2 + 24 + 560 + 9 + 2 + 67 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7615005696 + 14841086976 = 87264^2 + 121824^2 .

It is not an unprimeable number, because it can be changed into a prime (22456092677) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 252315604 + ... + 252315692.

Almost surely, 2^22456092672 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 22456092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36858501225).

22456092672 is an abundant number, since it is smaller than the sum of its proper divisors (51260909778).

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

22456092672 is an frugal number, since it uses more digits than its factorization.

22456092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22456092672 in words is "twenty-two billion, four hundred fifty-six million, ninety-two thousand, six hundred seventy-two".