22612134960 has 200 divisors, whose sum is σ = 79111650816. Its totient is φ = 5985653760.

The previous prime is 22612134949. The next prime is 22612134991. The reversal of 22612134960 is 6943121622.

It is a happy number.

22612134960 is a `hidden beast` number, since 2 + 2 + 612 + 1 + 34 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×22612134960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 875025 + ... + 900495.

Almost surely, 2^22612134960 is an apocalyptic number.

22612134960 is a gapful number since it is divisible by the number (20) 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 22612134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39555825408).

22612134960 is an abundant number, since it is smaller than the sum of its proper divisors (56499515856).

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

22612134960 is a wasteful number, since it uses less digits than its factorization.

22612134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633 (or 25618 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22612134960 in words is "twenty-two billion, six hundred twelve million, one hundred thirty-four thousand, nine hundred sixty".