12624397642038 has 256 divisors, whose sum is σ = 32268328888320. Its totient is φ = 3202595794944.

The previous prime is 12624397642007. The next prime is 12624397642039. The reversal of 12624397642038 is 83024679342621.

It is a happy number.

It is a super-2 number, since 2×12624397642038² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12624397642039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5863629970 + ... + 5863632122.

It is an arithmetic number, because the mean of its divisors is an integer number (126048159720).

Almost surely, 2^{12624397642038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12624397642038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134164444160).

12624397642038 is an abundant number, since it is smaller than the sum of its proper divisors (19643931246282).

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

12624397642038 is a wasteful number, since it uses less digits than its factorization.

12624397642038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431.

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 12624397642038 in words is "twelve trillion, six hundred twenty-four billion, three hundred ninety-seven million, six hundred forty-two thousand, thirty-eight".