313811872920 has 1024 divisors, whose sum is σ = 1347707289600. Its totient is φ = 63183421440.

The previous prime is 313811872903. The next prime is 313811872951. The reversal of 313811872920 is 29278118313.

313811872920 is a `hidden beast` number, since 3 + 1 + 381 + 187 + 2 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 189384732 + ... + 189386388.

It is an arithmetic number, because the mean of its divisors is an integer number (1316120400).

Almost surely, 2^313811872920 is an apocalyptic number.

313811872920 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 313811872920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673853644800).

313811872920 is an abundant number, since it is smaller than the sum of its proper divisors (1033895416680).

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

313811872920 is a wasteful number, since it uses less digits than its factorization.

313811872920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 313811872920 in words is "three hundred thirteen billion, eight hundred eleven million, eight hundred seventy-two thousand, nine hundred twenty".