23254627968 has 576 divisors, whose sum is σ = 81403325640. Its totient is φ = 6325862400.

The previous prime is 23254627951. The next prime is 23254627987. The reversal of 23254627968 is 86972645232.

23254627968 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 4 + 627 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2704832064 + 20549795904 = 52008^2 + 143352^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74295780 + ... + 74296092.

Almost surely, 2^23254627968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23254627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40701662820).

23254627968 is an abundant number, since it is smaller than the sum of its proper divisors (58148697672).

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

23254627968 is a wasteful number, since it uses less digits than its factorization.

23254627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 23254627968 in words is "twenty-three billion, two hundred fifty-four million, six hundred twenty-seven thousand, nine hundred sixty-eight".