315516606114311 has 128 divisors (see below), whose sum is σ = 385770332160000. Its totient is φ = 252399115584000.

The previous prime is 315516606114293. The next prime is 315516606114313. The reversal of 315516606114311 is 113411606615513.

It is not a de Polignac number, because 315516606114311 - 2²² = 315516601920007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315516606114313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74082319100 + ... + 74082323358.

It is an arithmetic number, because the mean of its divisors is an integer number (3013830720000).

Almost surely, 2^{315516606114311} is an apocalyptic number.

315516606114311 is a deficient number, since it is larger than the sum of its proper divisors (70253726045689).

315516606114311 is a wasteful number, since it uses less digits than its factorization.

315516606114311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933.

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 315516606114311 in words is "three hundred fifteen trillion, five hundred sixteen billion, six hundred six million, one hundred fourteen thousand, three hundred eleven".