23014632960 has 480 divisors, whose sum is σ = 88245780480. Its totient is φ = 5496422400.

The previous prime is 23014632947. The next prime is 23014632973. The reversal of 23014632960 is 6923641032.

23014632960 is a `hidden beast` number, since 2 + 3 + 0 + 14 + 632 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23014632947) and next prime (23014632973).

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17993601 + ... + 17994879.

It is an arithmetic number, because the mean of its divisors is an integer number (183845376).

Almost surely, 2^23014632960 is an apocalyptic number.

23014632960 is a gapful number since it is divisible by the number (20) 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 23014632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44122890240).

23014632960 is an abundant number, since it is smaller than the sum of its proper divisors (65231147520).

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

23014632960 is a wasteful number, since it uses less digits than its factorization.

23014632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23014632960 in words is "twenty-three billion, fourteen million, six hundred thirty-two thousand, nine hundred sixty".