313892070912 has 800 divisors, whose sum is σ = 1139643343872. Its totient is φ = 84070711296.

The previous prime is 313892070911. The next prime is 313892070917. The reversal of 313892070912 is 219070298313.

313892070912 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313892070911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353880133 + ... + 353881019.

Almost surely, 2^313892070912 is an apocalyptic number.

313892070912 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 313892070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569821671936).

313892070912 is an abundant number, since it is smaller than the sum of its proper divisors (825751272960).

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

313892070912 is an equidigital number, since it uses as much as digits as its factorization.

313892070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 313892070912 in words is "three hundred thirteen billion, eight hundred ninety-two million, seventy thousand, nine hundred twelve".