114012330256 has 160 divisors (see below), whose sum is σ = 252920062080. Its totient is φ = 49312972800.

The previous prime is 114012330191. The next prime is 114012330283. The reversal of 114012330256 is 652033210411.

114012330256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114012330256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208431775 + ... + 208432321.

It is an arithmetic number, because the mean of its divisors is an integer number (1580750388).

Almost surely, 2^114012330256 is an apocalyptic number.

114012330256 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 114012330256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126460031040).

114012330256 is an abundant number, since it is smaller than the sum of its proper divisors (138907731824).

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

114012330256 is a wasteful number, since it uses less digits than its factorization.

114012330256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 114012330256 its reverse (652033210411), we get a palindrome (766045540667).

The spelling of 114012330256 in words is "one hundred fourteen billion, twelve million, three hundred thirty thousand, two hundred fifty-six".