12538129164381 has 6 divisors (see below), whose sum is σ = 18110631015230. Its totient is φ = 8358752776248.

The previous prime is 12538129164349. The next prime is 12538129164499. The reversal of 12538129164381 is 18346192183521.

12538129164381 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 81 + 29 + 164 + 381 = 666.

12538129164381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12474783825156 + 63345339225 = 3531966^2 + 251685^2 .

It is not a de Polignac number, because 12538129164381 - 2⁵ = 12538129164349 is a prime.

It is a super-2 number, since 2×12538129164381² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12538129169381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696562731346 + ... + 696562731363.

Almost surely, 2^{12538129164381} is an apocalyptic number.

It is an amenable number.

12538129164381 is a deficient number, since it is larger than the sum of its proper divisors (5572501850849).

12538129164381 is a wasteful number, since it uses less digits than its factorization.

12538129164381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393125462715 (or 1393125462712 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 12538129164381 in words is "twelve trillion, five hundred thirty-eight billion, one hundred twenty-nine million, one hundred sixty-four thousand, three hundred eighty-one".