313267445568 has 560 divisors, whose sum is σ = 1161751100928. Its totient is φ = 81088128000.

The previous prime is 313267445551. The next prime is 313267445593. The reversal of 313267445568 is 865544762313.

313267445568 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 6 + 74 + 4 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132123423 + ... + 132125793.

Almost surely, 2^313267445568 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 313267445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580875550464).

313267445568 is an abundant number, since it is smaller than the sum of its proper divisors (848483655360).

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

313267445568 is a wasteful number, since it uses less digits than its factorization.

313267445568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2725 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 313267445568 in words is "three hundred thirteen billion, two hundred sixty-seven million, four hundred forty-five thousand, five hundred sixty-eight".