117315456 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 36292608.

The previous prime is 117315449. The next prime is 117315467. The reversal of 117315456 is 654513711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326605 + ... + 326963.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^117315456 is an apocalyptic number.

117315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

117315456 is an abundant number, since it is smaller than the sum of its proper divisors (217570944).

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

117315456 is a wasteful number, since it uses less digits than its factorization.

117315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 117315456 is about 10831.2259693905. The cubic root of 117315456 is about 489.5364990906.

The spelling of 117315456 in words is "one hundred seventeen million, three hundred fifteen thousand, four hundred fifty-six".