1312608364704 has 144 divisors (see below), whose sum is σ = 4594129368192. Its totient is φ = 346182418944.

The previous prime is 1312608364681. The next prime is 1312608364729. The reversal of 1312608364704 is 4074638062131.

1312608364704 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 608 + 36 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1312608364704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25015924 + ... + 25068339.

It is an arithmetic number, because the mean of its divisors is an integer number (31903676168).

Almost surely, 2^{1312608364704} is an apocalyptic number.

1312608364704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1312608364704 is an abundant number, since it is smaller than the sum of its proper divisors (3281521003488).

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

1312608364704 is a wasteful number, since it uses less digits than its factorization.

1312608364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50084299 (or 50084288 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1312608364704 in words is "one trillion, three hundred twelve billion, six hundred eight million, three hundred sixty-four thousand, seven hundred four".