114155856 has 120 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 36652800.

The previous prime is 114155843. The next prime is 114155863. The reversal of 114155856 is 658551411.

114155856 is a `hidden beast` number, since 11 + 41 + 558 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24000) is a multiple of the sum of its prime divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 114155856.

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 23 ways as a sum of consecutive naturals, for example, 683485 + ... + 683651.

Almost surely, 2^114155856 is an apocalyptic number.

114155856 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 114155856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

114155856 is an abundant number, since it is smaller than the sum of its proper divisors (217322928).

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

114155856 is a wasteful number, since it uses less digits than its factorization.

114155856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

The square root of 114155856 is about 10684.3743850541. The cubic root of 114155856 is about 485.1016274794.

It can be divided in two parts, 11415 and 5856, that added together give a palindrome (17271).

The spelling of 114155856 in words is "one hundred fourteen million, one hundred fifty-five thousand, eight hundred fifty-six".