313245868800 has 324 divisors, whose sum is σ = 1080712685864. Its totient is φ = 79897804800.

The previous prime is 313245868769. The next prime is 313245868801. The reversal of 313245868800 is 8868542313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313245868800.

It is not an unprimeable number, because it can be changed into a prime (313245868801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10141380 + ... + 10172220.

Almost surely, 2^313245868800 is an apocalyptic number.

313245868800 is a gapful number since it is divisible by the number (30) 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 313245868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540356342932).

313245868800 is an abundant number, since it is smaller than the sum of its proper divisors (767466817064).

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

313245868800 is a wasteful number, since it uses less digits than its factorization.

313245868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30916 (or 30874 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 313245868800 in words is "three hundred thirteen billion, two hundred forty-five million, eight hundred sixty-eight thousand, eight hundred".