315612011344 has 120 divisors (see below), whose sum is σ = 777475024128. Its totient is φ = 123198888960.

The previous prime is 315612011317. The next prime is 315612011359. The reversal of 315612011344 is 443110216513.

It is a super-2 number, since 2×315612011344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31227 + ... + 795109.

Almost surely, 2^315612011344 is an apocalyptic number.

315612011344 is a gapful number since it is divisible by the number (34) 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 315612011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388737512064).

315612011344 is an abundant number, since it is smaller than the sum of its proper divisors (461863012784).

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

315612011344 is a wasteful number, since it uses less digits than its factorization.

315612011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763953 (or 763940 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 315612011344 its reverse (443110216513), we get a palindrome (758722227857).

The spelling of 315612011344 in words is "three hundred fifteen billion, six hundred twelve million, eleven thousand, three hundred forty-four".