315600334416 has 120 divisors (see below), whose sum is σ = 908984154624. Its totient is φ = 102145847040.

The previous prime is 315600334411. The next prime is 315600334447. The reversal of 315600334416 is 614433006513.

315600334416 is a `hidden beast` number, since 3 + 1 + 5 + 600 + 3 + 3 + 4 + 41 + 6 = 666.

It is a super-2 number, since 2×315600334416² (a number of 24 digits) contains 22 as substring.

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 (315600334411) 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, 2533921 + ... + 2655551.

Almost surely, 2^315600334416 is an apocalyptic number.

315600334416 is a gapful number since it is divisible by the number (36) 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 315600334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454492077312).

315600334416 is an abundant number, since it is smaller than the sum of its proper divisors (593383820208).

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

315600334416 is a wasteful number, since it uses less digits than its factorization.

315600334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122169 (or 122160 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 315600334416 in words is "three hundred fifteen billion, six hundred million, three hundred thirty-four thousand, four hundred sixteen".