114080256 has 120 divisors (see below), whose sum is σ = 346837920. Its totient is φ = 35997696.

The previous prime is 114080231. The next prime is 114080261. The reversal of 114080256 is 652080411.

114080256 is a `hidden beast` number, since 1 + 1 + 408 + 0 + 256 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86901 + ... + 88203.

It is an arithmetic number, because the mean of its divisors is an integer number (2890316).

Almost surely, 2^114080256 is an apocalyptic number.

114080256 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 114080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173418960).

114080256 is an abundant number, since it is smaller than the sum of its proper divisors (232757664).

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

114080256 is a wasteful number, since it uses less digits than its factorization.

114080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114080256 is about 10680.8359223424. The cubic root of 114080256 is about 484.9945172441.

The spelling of 114080256 in words is "one hundred fourteen million, eighty thousand, two hundred fifty-six".