12364766013006 has 64 divisors (see below), whose sum is σ = 30397376217600. Its totient is φ = 3694125556800.

The previous prime is 12364766012987. The next prime is 12364766013031. The reversal of 12364766013006 is 60031066746321.

12364766013006 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 4 + 7 + 6 + 601 + 30 + 0 + 6 = 666.

It is a super-2 number, since 2×12364766013006² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146550111 + ... + 146634458.

It is an arithmetic number, because the mean of its divisors is an integer number (474959003400).

Almost surely, 2^{12364766013006} is an apocalyptic number.

12364766013006 is an abundant number, since it is smaller than the sum of its proper divisors (18032610204594).

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

12364766013006 is a wasteful number, since it uses less digits than its factorization.

12364766013006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293184662 (or 293184656 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 12364766013006 in words is "twelve trillion, three hundred sixty-four billion, seven hundred sixty-six million, thirteen thousand, six".