315115011144 has 96 divisors (see below), whose sum is σ = 871778489400. Its totient is φ = 102791070720.

The previous prime is 315115011137. The next prime is 315115011179. The reversal of 315115011144 is 441110511513.

It is a happy number.

315115011144 is a `hidden beast` number, since 3 + 1 + 5 + 11 + 501 + 1 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 311210011044 + 3905000100 = 557862^2 + 62490^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378284 + ... + 1590564.

Almost surely, 2^315115011144 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 315115011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435889244700).

315115011144 is an abundant number, since it is smaller than the sum of its proper divisors (556663478256).

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

315115011144 is a wasteful number, since it uses less digits than its factorization.

315115011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212735 (or 212728 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 315115011144 its reverse (441110511513), we get a palindrome (756225522657).

The spelling of 315115011144 in words is "three hundred fifteen billion, one hundred fifteen million, eleven thousand, one hundred forty-four".