12638868407649 has 12 divisors (see below), whose sum is σ = 19915792642512. Its totient is φ = 7659920247000.

The previous prime is 12638868407611. The next prime is 12638868407677. The reversal of 12638868407649 is 94670486883621.

12638868407649 is a `hidden beast` number, since 1 + 26 + 3 + 88 + 68 + 407 + 64 + 9 = 666.

It is not a de Polignac number, because 12638868407649 - 2⁸ = 12638868407393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12638868407699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63832668627 + ... + 63832668824.

It is an arithmetic number, because the mean of its divisors is an integer number (1659649386876).

Almost surely, 2^{12638868407649} is an apocalyptic number.

It is an amenable number.

12638868407649 is a deficient number, since it is larger than the sum of its proper divisors (7276924234863).

12638868407649 is a wasteful number, since it uses less digits than its factorization.

12638868407649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127665337468 (or 127665337465 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 12638868407649 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred sixty-eight million, four hundred seven thousand, six hundred forty-nine".