12900414166664 has 64 divisors (see below), whose sum is σ = 25046503776000. Its totient is φ = 6221779164160.

The previous prime is 12900414166643. The next prime is 12900414166667. The reversal of 12900414166664 is 46666141400921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12900414166667) 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 15 ways as a sum of consecutive naturals, for example, 1248703979 + ... + 1248714309.

It is an arithmetic number, because the mean of its divisors is an integer number (391351621500).

Almost surely, 2^{12900414166664} is an apocalyptic number.

It is an amenable number.

12900414166664 is a deficient number, since it is larger than the sum of its proper divisors (12146089609336).

12900414166664 is a wasteful number, since it uses less digits than its factorization.

12900414166664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 12900414166664 in words is "twelve trillion, nine hundred billion, four hundred fourteen million, one hundred sixty-six thousand, six hundred sixty-four".