114876432 has 180 divisors, whose sum is σ = 373049040. Its totient is φ = 32883840.

The previous prime is 114876431. The next prime is 114876439. The reversal of 114876432 is 234678411.

114876432 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 7 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114876431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330883 + ... + 331229.

Almost surely, 2^114876432 is an apocalyptic number.

114876432 is a gapful number since it is divisible by the number (12) 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 114876432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186524520).

114876432 is an abundant number, since it is smaller than the sum of its proper divisors (258172608).

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

114876432 is a wasteful number, since it uses less digits than its factorization.

114876432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 114876432 is about 10718.0423585653. The cubic root of 114876432 is about 486.1201755344.

The spelling of 114876432 in words is "one hundred fourteen million, eight hundred seventy-six thousand, four hundred thirty-two".