114776384 has 112 divisors (see below), whose sum is σ = 258080256. Its totient is φ = 50380800.

The previous prime is 114776383. The next prime is 114776393. The reversal of 114776384 is 483677411.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114776381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1382807 + ... + 1382889.

It is an arithmetic number, because the mean of its divisors is an integer number (2304288).

Almost surely, 2^114776384 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 114776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129040128).

114776384 is an abundant number, since it is smaller than the sum of its proper divisors (143303872).

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

114776384 is a wasteful number, since it uses less digits than its factorization.

114776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 114776384 is about 10713.3740716919. The cubic root of 114776384 is about 485.9790108747.

The spelling of 114776384 in words is "one hundred fourteen million, seven hundred seventy-six thousand, three hundred eighty-four".