312446372976 has 80 divisors (see below), whose sum is σ = 935829745920. Its totient is φ = 99620579520.

The previous prime is 312446372971. The next prime is 312446372977. The reversal of 312446372976 is 679273644213.

It is a happy number.

312446372976 is a `hidden beast` number, since 3 + 1 + 24 + 463 + 72 + 97 + 6 = 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 (312446372971) 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 15 ways as a sum of consecutive naturals, for example, 15713010 + ... + 15732881.

It is an arithmetic number, because the mean of its divisors is an integer number (11697871824).

Almost surely, 2^312446372976 is an apocalyptic number.

312446372976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312446372976 is an abundant number, since it is smaller than the sum of its proper divisors (623383372944).

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

312446372976 is a wasteful number, since it uses less digits than its factorization.

312446372976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31445931 (or 31445919 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

It can be divided in two parts, 3124 and 46372976, that added together give a square (46376100 = 6810²).

The spelling of 312446372976 in words is "three hundred twelve billion, four hundred forty-six million, three hundred seventy-two thousand, nine hundred seventy-six".