114963904 has 56 divisors (see below), whose sum is σ = 252392688. Its totient is φ = 51517440.

The previous prime is 114963887. The next prime is 114963929. The reversal of 114963904 is 409369411.

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 7 ways as a sum of consecutive naturals, for example, 50274 + ... + 52510.

Almost surely, 2^114963904 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 114963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126196344).

114963904 is an abundant number, since it is smaller than the sum of its proper divisors (137428784).

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

114963904 is a wasteful number, since it uses less digits than its factorization.

114963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 114963904 is about 10722.1221780019. The cubic root of 114963904 is about 486.2435287037.

It can be divided in two parts, 11496 and 3904, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 114963904 in words is "one hundred fourteen million, nine hundred sixty-three thousand, nine hundred four".