12164145554367 has 64 divisors (see below), whose sum is σ = 18158993233920. Its totient is φ = 8047608768000.

The previous prime is 12164145554357. The next prime is 12164145554381. The reversal of 12164145554367 is 76345554146121.

12164145554367 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 41 + 4 + 55 + 543 + 6 + 7 = 666.

It is not a de Polignac number, because 12164145554367 - 2⁶ = 12164145554303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164145554357) 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 63 ways as a sum of consecutive naturals, for example, 2497255942 + ... + 2497260812.

It is an arithmetic number, because the mean of its divisors is an integer number (283734269280).

Almost surely, 2^{12164145554367} is an apocalyptic number.

12164145554367 is a deficient number, since it is larger than the sum of its proper divisors (5994847679553).

12164145554367 is a wasteful number, since it uses less digits than its factorization.

12164145554367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6415 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 12164145554367 in words is "twelve trillion, one hundred sixty-four billion, one hundred forty-five million, five hundred fifty-four thousand, three hundred sixty-seven".