312078481632 has 72 divisors (see below), whose sum is σ = 892119795840. Its totient is φ = 103481502720.

The previous prime is 312078481591. The next prime is 312078481717. The reversal of 312078481632 is 236184870213.

312078481632 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 7 + 8 + 4 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×312078481632² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2781657 + ... + 2891672.

It is an arithmetic number, because the mean of its divisors is an integer number (12390552720).

Almost surely, 2^312078481632 is an apocalyptic number.

312078481632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312078481632 is an abundant number, since it is smaller than the sum of its proper divisors (580041314208).

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

312078481632 is a wasteful number, since it uses less digits than its factorization.

312078481632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673536 (or 5673525 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 312078481632 in words is "three hundred twelve billion, seventy-eight million, four hundred eighty-one thousand, six hundred thirty-two".