22956085152 has 1152 divisors, whose sum is σ = 96097075200. Its totient is φ = 5173217280.

The previous prime is 22956085129. The next prime is 22956085169. The reversal of 22956085152 is 25158065922.

22956085152 is a `hidden beast` number, since 2 + 2 + 9 + 560 + 85 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22956085098 and 22956085107.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180756513 + ... + 180756639.

It is an arithmetic number, because the mean of its divisors is an integer number (83417600).

Almost surely, 2^22956085152 is an apocalyptic number.

22956085152 is a gapful number since it is divisible by the number (22) 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 22956085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048537600).

22956085152 is an abundant number, since it is smaller than the sum of its proper divisors (73140990048).

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

22956085152 is a wasteful number, since it uses less digits than its factorization.

22956085152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 22956085152 in words is "twenty-two billion, nine hundred fifty-six million, eighty-five thousand, one hundred fifty-two".