315117413680 has 80 divisors (see below), whose sum is σ = 734510800800. Its totient is φ = 125726939136.

The previous prime is 315117413671. The next prime is 315117413683. The reversal of 315117413680 is 86314711513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×315117413680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (315117413683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57827596 + ... + 57833044.

It is an arithmetic number, because the mean of its divisors is an integer number (9181385010).

Almost surely, 2^315117413680 is an apocalyptic number.

It is an amenable number.

315117413680 is an abundant number, since it is smaller than the sum of its proper divisors (419393387120).

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

315117413680 is a wasteful number, since it uses less digits than its factorization.

315117413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 315117413680 in words is "three hundred fifteen billion, one hundred seventeen million, four hundred thirteen thousand, six hundred eighty".