312153120060804 has 144 divisors (see below), whose sum is σ = 873455392293120. Its totient is φ = 93205614237120.

The previous prime is 312153120060757. The next prime is 312153120060967. The reversal of 312153120060804 is 408060021351213.

312153120060804 is a `hidden beast` number, since 3 + 1 + 2 + 15 + 31 + 2 + 0 + 0 + 608 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72282 + ... + 24986225.

It is an arithmetic number, because the mean of its divisors is an integer number (6065662446480).

Almost surely, 2^{312153120060804} 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 312153120060804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436727696146560).

312153120060804 is an abundant number, since it is smaller than the sum of its proper divisors (561302272232316).

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

312153120060804 is a wasteful number, since it uses less digits than its factorization.

312153120060804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25058990 (or 25058985 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 312153120060804 in words is "three hundred twelve trillion, one hundred fifty-three billion, one hundred twenty million, sixty thousand, eight hundred four".