12646729138175 has 96 divisors (see below), whose sum is σ = 17564911845120. Its totient is φ = 8954865920000.

The previous prime is 12646729138063. The next prime is 12646729138181. The reversal of 12646729138175 is 57183192764621.

It is a happy number.

It is a Cunningham number, because it is equal to 3556224²-1.

It is not a de Polignac number, because 12646729138175 - 2³⁶ = 12578009661439 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4420386245 + ... + 4420389105.

It is an arithmetic number, because the mean of its divisors is an integer number (182967831720).

Almost surely, 2^{12646729138175} is an apocalyptic number.

12646729138175 is a deficient number, since it is larger than the sum of its proper divisors (4918182706945).

12646729138175 is a wasteful number, since it uses less digits than its factorization.

12646729138175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5460 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 62.

The spelling of 12646729138175 in words is "twelve trillion, six hundred forty-six billion, seven hundred twenty-nine million, one hundred thirty-eight thousand, one hundred seventy-five".