312314915328 has 320 divisors, whose sum is σ = 935490124800. Its totient is φ = 91935866880.

The previous prime is 312314915327. The next prime is 312314915329. The reversal of 312314915328 is 823519413213.

It is an interprime number because it is at equal distance from previous prime (312314915327) and next prime (312314915329).

It is a self number, because there is not a number n which added to its sum of digits gives 312314915328.

It is not an unprimeable number, because it can be changed into a prime (312314915327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55088878 + ... + 55094546.

It is an arithmetic number, because the mean of its divisors is an integer number (2923406640).

Almost surely, 2^312314915328 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 312314915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467745062400).

312314915328 is an abundant number, since it is smaller than the sum of its proper divisors (623175209472).

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

312314915328 is a wasteful number, since it uses less digits than its factorization.

312314915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5807 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 312314915328 in words is "three hundred twelve billion, three hundred fourteen million, nine hundred fifteen thousand, three hundred twenty-eight".