313568863020 has 288 divisors, whose sum is σ = 1114147786752. Its totient is φ = 69890978304.

The previous prime is 313568862983. The next prime is 313568863141. The reversal of 313568863020 is 20368865313.

313568863020 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 6 + 8 + 8 + 630 + 2 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35375109 + ... + 35383971.

It is an arithmetic number, because the mean of its divisors is an integer number (3868568704).

Almost surely, 2^313568863020 is an apocalyptic number.

313568863020 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 313568863020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557073893376).

313568863020 is an abundant number, since it is smaller than the sum of its proper divisors (800578923732).

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

313568863020 is a wasteful number, since it uses less digits than its factorization.

313568863020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 313568863020 in words is "three hundred thirteen billion, five hundred sixty-eight million, eight hundred sixty-three thousand, twenty".