114054071256 has 96 divisors (see below), whose sum is σ = 317329805520. Its totient is φ = 36985344000.

The previous prime is 114054071191. The next prime is 114054071273. The reversal of 114054071256 is 652170450411.

114054071256 is a `hidden beast` number, since 1 + 1 + 40 + 540 + 71 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114054071256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987331 + ... + 1096781.

Almost surely, 2^114054071256 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 114054071256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158664902760).

114054071256 is an abundant number, since it is smaller than the sum of its proper divisors (203275734264).

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

114054071256 is a wasteful number, since it uses less digits than its factorization.

114054071256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109857 (or 109850 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 114054071256 in words is "one hundred fourteen billion, fifty-four million, seventy-one thousand, two hundred fifty-six".