315403495768368 has 400 divisors, whose sum is σ = 1104701126031360. Its totient is φ = 84810342684672.

The previous prime is 315403495768349. The next prime is 315403495768421. The reversal of 315403495768368 is 863867594304513.

It is a happy number.

315403495768368 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 0 + 3 + 49 + 576 + 8 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 315403495768296 and 315403495768305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4712897755 + ... + 4712964677.

Almost surely, 2^{315403495768368} 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 315403495768368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552350563015680).

315403495768368 is an abundant number, since it is smaller than the sum of its proper divisors (789297630262992).

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

315403495768368 is a wasteful number, since it uses less digits than its factorization.

315403495768368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97526 (or 97511 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 315403495768368 in words is "three hundred fifteen trillion, four hundred three billion, four hundred ninety-five million, seven hundred sixty-eight thousand, three hundred sixty-eight".