312164059536 has 240 divisors, whose sum is σ = 1055705763840. Its totient is φ = 84115480320.

The previous prime is 312164059523. The next prime is 312164059561. The reversal of 312164059536 is 635950461213.

312164059536 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 64 + 0 + 59 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312164059491 and 312164059500.

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 47 ways as a sum of consecutive naturals, for example, 4234351 + ... + 4307441.

It is an arithmetic number, because the mean of its divisors is an integer number (4398774016).

Almost surely, 2^312164059536 is an apocalyptic number.

312164059536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312164059536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527852881920).

312164059536 is an abundant number, since it is smaller than the sum of its proper divisors (743541704304).

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

312164059536 is a wasteful number, since it uses less digits than its factorization.

312164059536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73354 (or 73345 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 312164059536 in words is "three hundred twelve billion, one hundred sixty-four million, fifty-nine thousand, five hundred thirty-six".