114517888 has 32 divisors (see below), whose sum is σ = 231372720. Its totient is φ = 56448000.

The previous prime is 114517877. The next prime is 114517913. The reversal of 114517888 is 888715411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×114517888² = 26228693343961088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2788 + ... + 15388.

Almost surely, 2^114517888 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 114517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115686360).

114517888 is an abundant number, since it is smaller than the sum of its proper divisors (116854832).

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

114517888 is an equidigital number, since it uses as much as digits as its factorization.

114517888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12674 counting only the distinct ones).

The product of its digits is 71680, while the sum is 43.

The square root of 114517888 is about 10701.3030982213. The cubic root of 114517888 is about 485.6139007571.

The spelling of 114517888 in words is "one hundred fourteen million, five hundred seventeen thousand, eight hundred eighty-eight".