114182432 has 96 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 44642304.

The previous prime is 114182429. The next prime is 114182441. The reversal of 114182432 is 234281411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328883 + ... + 329229.

It is an arithmetic number, because the mean of its divisors is an integer number (2915892).

Almost surely, 2^114182432 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 114182432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

114182432 is an abundant number, since it is smaller than the sum of its proper divisors (165743200).

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

114182432 is a wasteful number, since it uses less digits than its factorization.

114182432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 114182432 is about 10685.6179980383. The cubic root of 114182432 is about 485.1392691767.

The spelling of 114182432 in words is "one hundred fourteen million, one hundred eighty-two thousand, four hundred thirty-two".