23390512704 has 504 divisors, whose sum is σ = 80843064120. Its totient is φ = 6404603904.

The previous prime is 23390512697. The next prime is 23390512727. The reversal of 23390512704 is 40721509332.

23390512704 is a `hidden beast` number, since 2 + 339 + 0 + 51 + 270 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5661057600 + 17729455104 = 75240^2 + 133152^2 .

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

It is a congruent number.

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, 45953602 + ... + 45954110.

It is an arithmetic number, because the mean of its divisors is an integer number (160402905).

Almost surely, 2^23390512704 is an apocalyptic number.

23390512704 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 23390512704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40421532060).

23390512704 is an abundant number, since it is smaller than the sum of its proper divisors (57452551416).

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

23390512704 is a wasteful number, since it uses less digits than its factorization.

23390512704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23390512704 in words is "twenty-three billion, three hundred ninety million, five hundred twelve thousand, seven hundred four".