114802034256 has 480 divisors, whose sum is σ = 409064318208. Its totient is φ = 29248266240.

The previous prime is 114802034209. The next prime is 114802034267. The reversal of 114802034256 is 652430208411.

It is a happy number.

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 114802034256.

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 95 ways as a sum of consecutive naturals, for example, 57486250 + ... + 57488246.

Almost surely, 2^114802034256 is an apocalyptic number.

114802034256 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 114802034256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204532159104).

114802034256 is an abundant number, since it is smaller than the sum of its proper divisors (294262283952).

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

114802034256 is a wasteful number, since it uses less digits than its factorization.

114802034256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 114802034256 in words is "one hundred fourteen billion, eight hundred two million, thirty-four thousand, two hundred fifty-six".