313382290960 has 160 divisors (see below), whose sum is σ = 761041290240. Its totient is φ = 119874816000.

The previous prime is 313382290943. The next prime is 313382290967. The reversal of 313382290960 is 69092283313.

It is a super-4 number, since 4×313382290960⁴ (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313382290960.

It is not an unprimeable number, because it can be changed into a prime (313382290967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185103874 + ... + 185105566.

It is an arithmetic number, because the mean of its divisors is an integer number (4756508064).

Almost surely, 2^313382290960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313382290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380520645120).

313382290960 is an abundant number, since it is smaller than the sum of its proper divisors (447658999280).

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

313382290960 is a wasteful number, since it uses less digits than its factorization.

313382290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 313382290960 in words is "three hundred thirteen billion, three hundred eighty-two million, two hundred ninety thousand, nine hundred sixty".