114011856 has 120 divisors (see below), whose sum is σ = 383913920. Its totient is φ = 30855168.

The previous prime is 114011839. The next prime is 114011861. The reversal of 114011856 is 658110411.

It is a congruent number.

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, 16176 + ... + 22128.

Almost surely, 2^114011856 is an apocalyptic number.

114011856 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 114011856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191956960).

114011856 is an abundant number, since it is smaller than the sum of its proper divisors (269902064).

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

114011856 is a wasteful number, since it uses less digits than its factorization.

114011856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 114011856 is about 10677.6334456658. The cubic root of 114011856 is about 484.8975672009.

It can be divided in two parts, 1140 and 11856, that added together give a square (12996 = 114²).

The spelling of 114011856 in words is "one hundred fourteen million, eleven thousand, eight hundred fifty-six".