316109813760 has 768 divisors, whose sum is σ = 1243336348800. Its totient is φ = 75676778496.

The previous prime is 316109813749. The next prime is 316109813783. The reversal of 316109813760 is 67318901613.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132985692 + ... + 132988068.

Almost surely, 2^316109813760 is an apocalyptic number.

316109813760 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 316109813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621668174400).

316109813760 is an abundant number, since it is smaller than the sum of its proper divisors (927226535040).

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

316109813760 is a wasteful number, since it uses less digits than its factorization.

316109813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 316109813760 in words is "three hundred sixteen billion, one hundred nine million, eight hundred thirteen thousand, seven hundred sixty".