12138932052864 has 1024 divisors, whose sum is σ = 38398074624000. Its totient is φ = 3770700595200.

The previous prime is 12138932052817. The next prime is 12138932052887. The reversal of 12138932052864 is 46825023983121.

12138932052864 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 93 + 20 + 528 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12138932052864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67065922854 + ... + 67065923034.

It is an arithmetic number, because the mean of its divisors is an integer number (37498119750).

Almost surely, 2^{12138932052864} 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 12138932052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199037312000).

12138932052864 is an abundant number, since it is smaller than the sum of its proper divisors (26259142571136).

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

12138932052864 is a wasteful number, since it uses less digits than its factorization.

12138932052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12138932052864 in words is "twelve trillion, one hundred thirty-eight billion, nine hundred thirty-two million, fifty-two thousand, eight hundred sixty-four".