22136146560 has 480 divisors, whose sum is σ = 86916683700. Its totient is φ = 5364817920.

The previous prime is 22136146559. The next prime is 22136146603. The reversal of 22136146560 is 6564163122.

22136146560 is a `hidden beast` number, since 2 + 2 + 136 + 1 + 465 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20098165824 + 2037980736 = 141768^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 6270876 + ... + 6274404.

Almost surely, 2^22136146560 is an apocalyptic number.

22136146560 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 22136146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43458341850).

22136146560 is an abundant number, since it is smaller than the sum of its proper divisors (64780537140).

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

22136146560 is a wasteful number, since it uses less digits than its factorization.

22136146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22136146560 in words is "twenty-two billion, one hundred thirty-six million, one hundred forty-six thousand, five hundred sixty".