23140806624 has 192 divisors, whose sum is σ = 73112155200. Its totient is φ = 7078496256.

The previous prime is 23140806583. The next prime is 23140806653. The reversal of 23140806624 is 42660804132.

23140806624 is a `hidden beast` number, since 23 + 1 + 4 + 0 + 8 + 0 + 6 + 624 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1937182 + ... + 1949090.

It is an arithmetic number, because the mean of its divisors is an integer number (380792475).

Almost surely, 2^23140806624 is an apocalyptic number.

23140806624 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 23140806624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556077600).

23140806624 is an abundant number, since it is smaller than the sum of its proper divisors (49971348576).

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

23140806624 is a wasteful number, since it uses less digits than its factorization.

23140806624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23140806624 in words is "twenty-three billion, one hundred forty million, eight hundred six thousand, six hundred twenty-four".