313112389824 has 336 divisors, whose sum is σ = 1029955032288. Its totient is φ = 90091782144.

The previous prime is 313112389813. The next prime is 313112389847. The reversal of 313112389824 is 428983211313.

It is a happy number.

313112389824 is a `hidden beast` number, since 313 + 11 + 238 + 98 + 2 + 4 = 666.

It is a super-2 number, since 2×313112389824² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 313112389824.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19977639 + ... + 19993305.

It is an arithmetic number, because the mean of its divisors is an integer number (3065342358).

Almost surely, 2^313112389824 is an apocalyptic number.

313112389824 is a gapful number since it is divisible by the number (34) 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 313112389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514977516144).

313112389824 is an abundant number, since it is smaller than the sum of its proper divisors (716842642464).

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

313112389824 is a wasteful number, since it uses less digits than its factorization.

313112389824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15859 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 313112389824 in words is "three hundred thirteen billion, one hundred twelve million, three hundred eighty-nine thousand, eight hundred twenty-four".