116838315 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 51840000.

The previous prime is 116838311. The next prime is 116838317. The reversal of 116838315 is 513838611.

It is not a de Polignac number, because 116838315 - 2² = 116838311 is a prime.

Its product of digits (17280) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 116838315.

It is not an unprimeable number, because it can be changed into a prime (116838311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1156765 + ... + 1156865.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^116838315 is an apocalyptic number.

116838315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116838315 is an abundant number, since it is smaller than the sum of its proper divisors (129920085).

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

116838315 is a wasteful number, since it uses less digits than its factorization.

116838315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 116838315 is about 10809.1773507515. The cubic root of 116838315 is about 488.8719224962.

The spelling of 116838315 in words is "one hundred sixteen million, eight hundred thirty-eight thousand, three hundred fifteen".