313209856512 has 600 divisors, whose sum is σ = 1101807336960. Its totient is φ = 88310476800.

The previous prime is 313209856511. The next prime is 313209856517. The reversal of 313209856512 is 215658902313.

313209856512 is a `hidden beast` number, since 31 + 3 + 20 + 9 + 85 + 6 + 512 = 666.

It is a super-2 number, since 2×313209856512² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313209856511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 160537137 + ... + 160539087.

Almost surely, 2^313209856512 is an apocalyptic number.

313209856512 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 313209856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550903668480).

313209856512 is an abundant number, since it is smaller than the sum of its proper divisors (788597480448).

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

313209856512 is an equidigital number, since it uses as much as digits as its factorization.

313209856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 313209856512 in words is "three hundred thirteen billion, two hundred nine million, eight hundred fifty-six thousand, five hundred twelve".