12623300496 has 400 divisors, whose sum is σ = 41807145600. Its totient is φ = 3653185536.

The previous prime is 12623300407. The next prime is 12623300537. The reversal of 12623300496 is 69400332621.

12623300496 is a `hidden beast` number, since 1 + 262 + 3 + 300 + 4 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12623300496.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14694915 + ... + 14695773.

It is an arithmetic number, because the mean of its divisors is an integer number (104517864).

Almost surely, 2^12623300496 is an apocalyptic number.

12623300496 is a gapful number since it is divisible by the number (16) 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 12623300496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903572800).

12623300496 is an abundant number, since it is smaller than the sum of its proper divisors (29183845104).

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

12623300496 is a wasteful number, since it uses less digits than its factorization.

12623300496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

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

The spelling of 12623300496 in words is "twelve billion, six hundred twenty-three million, three hundred thousand, four hundred ninety-six".