23012681400 has 72 divisors (see below), whose sum is σ = 77284261080. Its totient is φ = 6136714560.

The previous prime is 23012681399. The next prime is 23012681407. The reversal of 23012681400 is 418621032.

23012681400 is a `hidden beast` number, since 230 + 1 + 26 + 8 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23012681407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6390612 + ... + 6394211.

It is an arithmetic number, because the mean of its divisors is an integer number (1073392515).

Almost surely, 2^23012681400 is an apocalyptic number.

23012681400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23012681400 is an abundant number, since it is smaller than the sum of its proper divisors (54271579680).

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

23012681400 is a wasteful number, since it uses less digits than its factorization.

23012681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784845 (or 12784833 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23012681400 in words is "twenty-three billion, twelve million, six hundred eighty-one thousand, four hundred".