313018734336 has 576 divisors, whose sum is σ = 1062121267200. Its totient is φ = 79486894080.

The previous prime is 313018734283. The next prime is 313018734361. The reversal of 313018734336 is 633437810313.

It is a super-2 number, since 2×313018734336² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 788460090 + ... + 788460486.

Almost surely, 2^313018734336 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 313018734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531060633600).

313018734336 is an abundant number, since it is smaller than the sum of its proper divisors (749102532864).

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

313018734336 is a wasteful number, since it uses less digits than its factorization.

313018734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 313018734336 in words is "three hundred thirteen billion, eighteen million, seven hundred thirty-four thousand, three hundred thirty-six".