315316561350546 has 192 divisors, whose sum is σ = 846635467392000. Its totient is φ = 82804492971648.

The previous prime is 315316561350541. The next prime is 315316561350547. The reversal of 315316561350546 is 645053165613513.

315316561350546 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 1 + 6 + 5 + 61 + 35 + 0 + 546 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315316561350492 and 315316561350501.

It is not an unprimeable number, because it can be changed into a prime (315316561350541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5059665 + ... + 25617051.

It is an arithmetic number, because the mean of its divisors is an integer number (4409559726000).

Almost surely, 2^{315316561350546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315316561350546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423317733696000).

315316561350546 is an abundant number, since it is smaller than the sum of its proper divisors (531318906041454).

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

315316561350546 is a wasteful number, since it uses less digits than its factorization.

315316561350546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20557613 (or 20557610 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 315316561350546 in words is "three hundred fifteen trillion, three hundred sixteen billion, five hundred sixty-one million, three hundred fifty thousand, five hundred forty-six".