313979807232 has 1200 divisors, whose sum is σ = 1189035928080. Its totient is φ = 79204220928.

The previous prime is 313979807231. The next prime is 313979807233. The reversal of 313979807232 is 232708979313.

313979807232 is a `hidden beast` number, since 313 + 9 + 7 + 98 + 0 + 7 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (313979807231) and next prime (313979807233).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313979807231) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5321691619 + ... + 5321691677.

Almost surely, 2^313979807232 is an apocalyptic number.

313979807232 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 313979807232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594517964040).

313979807232 is an abundant number, since it is smaller than the sum of its proper divisors (875056120848).

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

313979807232 is an equidigital number, since it uses as much as digits as its factorization.

313979807232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

It can be divided in two parts, 313979 and 807232, that added together give a palindrome (1121211).

The spelling of 313979807232 in words is "three hundred thirteen billion, nine hundred seventy-nine million, eight hundred seven thousand, two hundred thirty-two".