313845116832 has 480 divisors, whose sum is σ = 1032151150800. Its totient is φ = 92887990272.

The previous prime is 313845116813. The next prime is 313845116843. The reversal of 313845116832 is 238611548313.

It is a happy number.

313845116832 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 451 + 168 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 194131884816 + 119713232016 = 440604^2 + 345996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 387941644 + ... + 387942452.

Almost surely, 2^313845116832 is an apocalyptic number.

313845116832 is a gapful number since it is divisible by the number (32) 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 313845116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516075575400).

313845116832 is an abundant number, since it is smaller than the sum of its proper divisors (718306033968).

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

313845116832 is a wasteful number, since it uses less digits than its factorization.

313845116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1253 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 313845116832 in words is "three hundred thirteen billion, eight hundred forty-five million, one hundred sixteen thousand, eight hundred thirty-two".