114225102756 has 72 divisors (see below), whose sum is σ = 296141417208. Its totient is φ = 37100736000.

The previous prime is 114225102751. The next prime is 114225102833. The reversal of 114225102756 is 657201522411.

114225102756 is a `hidden beast` number, since 114 + 2 + 2 + 510 + 27 + 5 + 6 = 666.

114225102756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10238201856 + 103986900900 = 101184^2 + 322470^2 .

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 114225102756.

It is not an unprimeable number, because it can be changed into a prime (114225102751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164666 + ... + 1258926.

It is an arithmetic number, because the mean of its divisors is an integer number (4113075239).

Almost surely, 2^114225102756 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 114225102756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148070708604).

114225102756 is an abundant number, since it is smaller than the sum of its proper divisors (181916314452).

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

114225102756 is a wasteful number, since it uses less digits than its factorization.

114225102756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95133 (or 95128 counting only the distinct ones).

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

The spelling of 114225102756 in words is "one hundred fourteen billion, two hundred twenty-five million, one hundred two thousand, seven hundred fifty-six".