315846648513 has 32 divisors (see below), whose sum is σ = 522909475200. Its totient is φ = 186753369600.

The previous prime is 315846648511. The next prime is 315846648529.

It is a happy number.

315846648513 is a `hidden beast` number, since 3 + 1 + 5 + 84 + 6 + 6 + 48 + 513 = 666.

315846648513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315846648513 - 2¹ = 315846648511 is a prime.

It is a super-2 number, since 2×315846648513² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315846648513.

It is not an unprimeable number, because it can be changed into a prime (315846648511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12956808 + ... + 12981161.

It is an arithmetic number, because the mean of its divisors is an integer number (16340921100).

Almost surely, 2^315846648513 is an apocalyptic number.

315846648513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315846648513 is a deficient number, since it is larger than the sum of its proper divisors (207062826687).

315846648513 is a wasteful number, since it uses less digits than its factorization.

315846648513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25938030 (or 25938024 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 315846648513 in words is "three hundred fifteen billion, eight hundred forty-six million, six hundred forty-eight thousand, five hundred thirteen".