23134097664 has 252 divisors, whose sum is σ = 69911440956. Its totient is φ = 7636156416.

The previous prime is 23134097639. The next prime is 23134097681. The reversal of 23134097664 is 46679043132.

23134097664 is a `hidden beast` number, since 231 + 3 + 409 + 7 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2687385600 + 20446712064 = 51840^2 + 142992^2 .

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 27 ways as a sum of consecutive naturals, for example, 21087964 + ... + 21089060.

It is an arithmetic number, because the mean of its divisors is an integer number (277426353).

Almost surely, 2^23134097664 is an apocalyptic number.

23134097664 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 23134097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34955720478).

23134097664 is an abundant number, since it is smaller than the sum of its proper divisors (46777343292).

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

23134097664 is an equidigital number, since it uses as much as digits as its factorization.

23134097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23134097664 in words is "twenty-three billion, one hundred thirty-four million, ninety-seven thousand, six hundred sixty-four".