312136952160 has 384 divisors, whose sum is σ = 1145946009600. Its totient is φ = 70615480320.

The previous prime is 312136952143. The next prime is 312136952161. The reversal of 312136952160 is 61259631213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312136952161) 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 63 ways as a sum of consecutive naturals, for example, 6698221 + ... + 6744659.

It is an arithmetic number, because the mean of its divisors is an integer number (2984234400).

Almost surely, 2^312136952160 is an apocalyptic number.

312136952160 is a gapful number since it is divisible by the number (30) 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 312136952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572973004800).

312136952160 is an abundant number, since it is smaller than the sum of its proper divisors (833809057440).

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

312136952160 is a wasteful number, since it uses less digits than its factorization.

312136952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46554 (or 46546 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 312136952160 in words is "three hundred twelve billion, one hundred thirty-six million, nine hundred fifty-two thousand, one hundred sixty".