313221915072 has 168 divisors, whose sum is σ = 991810909440. Its totient is φ = 93714117120.

The previous prime is 313221915047. The next prime is 313221915077. The reversal of 313221915072 is 270519122313.

It is a happy number.

313221915072 is a `hidden beast` number, since 3 + 132 + 2 + 19 + 1 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313221915077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187663 + ... + 813425.

Almost surely, 2^313221915072 is an apocalyptic number.

313221915072 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 313221915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495905454720).

313221915072 is an abundant number, since it is smaller than the sum of its proper divisors (678588994368).

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

313221915072 is a wasteful number, since it uses less digits than its factorization.

313221915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625871 (or 625858 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 313221915072 in words is "three hundred thirteen billion, two hundred twenty-one million, nine hundred fifteen thousand, seventy-two".