12907638144 has 512 divisors, whose sum is σ = 43946496000. Its totient is φ = 3702620160.

The previous prime is 12907638137. The next prime is 12907638181. The reversal of 12907638144 is 44183670921.

12907638144 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 7 + 638 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12907638144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34604742 + ... + 34605114.

It is an arithmetic number, because the mean of its divisors is an integer number (85833000).

Almost surely, 2^12907638144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12907638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973248000).

12907638144 is an abundant number, since it is smaller than the sum of its proper divisors (31038857856).

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

12907638144 is a wasteful number, since it uses less digits than its factorization.

12907638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12907638144 in words is "twelve billion, nine hundred seven million, six hundred thirty-eight thousand, one hundred forty-four".