22312952064 has 504 divisors, whose sum is σ = 76285305432. Its totient is φ = 6449725440.

The previous prime is 22312952041. The next prime is 22312952087. The reversal of 22312952064 is 46025921322.

22312952064 is a `hidden beast` number, since 2 + 2 + 3 + 129 + 520 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22312952041) and next prime (22312952087).

It can be written as a sum of positive squares in 4 ways, for example, as 1866240000 + 20446712064 = 43200^2 + 142992^2 .

It is a super-3 number, since 3×22312952064³ (a number of 32 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41243634 + ... + 41244174.

It is an arithmetic number, because the mean of its divisors is an integer number (151359733).

Almost surely, 2^22312952064 is an apocalyptic number.

22312952064 is a gapful number since it is divisible by the number (24) 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 22312952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38142652716).

22312952064 is an abundant number, since it is smaller than the sum of its proper divisors (53972353368).

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

22312952064 is an equidigital number, since it uses as much as digits as its factorization.

22312952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 576 counting only the distinct ones).

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

The spelling of 22312952064 in words is "twenty-two billion, three hundred twelve million, nine hundred fifty-two thousand, sixty-four".