312556198392 has 128 divisors (see below), whose sum is σ = 890094139200. Its totient is φ = 101563545600.

The previous prime is 312556198391. The next prime is 312556198397. The reversal of 312556198392 is 293891655213.

312556198392 is a `hidden beast` number, since 3 + 1 + 2 + 556 + 1 + 9 + 83 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312556198391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11685418 + ... + 11712134.

Almost surely, 2^312556198392 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 312556198392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445047069600).

312556198392 is an abundant number, since it is smaller than the sum of its proper divisors (577537940808).

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

312556198392 is a wasteful number, since it uses less digits than its factorization.

312556198392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28094 (or 28084 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 312556198392 in words is "three hundred twelve billion, five hundred fifty-six million, one hundred ninety-eight thousand, three hundred ninety-two".