12623388624 has 600 divisors, whose sum is σ = 49137979968. Its totient is φ = 3083028480.

The previous prime is 12623388623. The next prime is 12623388637. The reversal of 12623388624 is 42688332621.

12623388624 is a `hidden beast` number, since 1 + 262 + 3 + 388 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×12623388624² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12623388624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623388623) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11874717 + ... + 11875779.

Almost surely, 2^12623388624 is an apocalyptic number.

12623388624 is a gapful number since it is divisible by the number (14) 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 12623388624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568989984).

12623388624 is an abundant number, since it is smaller than the sum of its proper divisors (36514591344).

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

12623388624 is a wasteful number, since it uses less digits than its factorization.

12623388624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12623388624 in words is "twelve billion, six hundred twenty-three million, three hundred eighty-eight thousand, six hundred twenty-four".