12974462820864 has 1200 divisors, whose sum is σ = 43735524497280. Its totient is φ = 3819312414720.

The previous prime is 12974462820793. The next prime is 12974462820911. The reversal of 12974462820864 is 46802826447921.

It is a happy number.

12974462820864 is a `hidden beast` number, since 1 + 2 + 9 + 74 + 462 + 8 + 20 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14118022197 + ... + 14118023115.

Almost surely, 2^{12974462820864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12974462820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867762248640).

12974462820864 is an abundant number, since it is smaller than the sum of its proper divisors (30761061676416).

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

12974462820864 is an equidigital number, since it uses as much as digits as its factorization.

12974462820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 12974462820864 in words is "twelve trillion, nine hundred seventy-four billion, four hundred sixty-two million, eight hundred twenty thousand, eight hundred sixty-four".