313691617512 has 512 divisors, whose sum is σ = 1116194688000. Its totient is φ = 79392337920.

The previous prime is 313691617511. The next prime is 313691617531. The reversal of 313691617512 is 215716196313.

313691617512 is a `hidden beast` number, since 3 + 1 + 36 + 91 + 6 + 17 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (313691617511) 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 127 ways as a sum of consecutive naturals, for example, 98612562 + ... + 98615742.

It is an arithmetic number, because the mean of its divisors is an integer number (2180067750).

Almost surely, 2^313691617512 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 313691617512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558097344000).

313691617512 is an abundant number, since it is smaller than the sum of its proper divisors (802503070488).

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

313691617512 is a wasteful number, since it uses less digits than its factorization.

313691617512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3408 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The spelling of 313691617512 in words is "three hundred thirteen billion, six hundred ninety-one million, six hundred seventeen thousand, five hundred twelve".