114066432 has 66 divisors (see below), whose sum is σ = 329390958. Its totient is φ = 38019072.

The previous prime is 114066431. The next prime is 114066461. The reversal of 114066432 is 234660411.

114066432 is a `hidden beast` number, since 1 + 14 + 0 + 6 + 643 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 37748736 = 8736^2 + 6144^2 .

It is a super-2 number, since 2×114066432² = 26022301818421248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114066396 and 114066405.

It is not an unprimeable number, because it can be changed into a prime (114066431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3028 + ... + 15404.

Almost surely, 2^114066432 is an apocalyptic number.

114066432 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 114066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164695479).

114066432 is an abundant number, since it is smaller than the sum of its proper divisors (215324526).

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

114066432 is a wasteful number, since it uses less digits than its factorization.

114066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12403 (or 12382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 114066432 is about 10680.1887623768. The cubic root of 114066432 is about 484.9749262554.

The spelling of 114066432 in words is "one hundred fourteen million, sixty-six thousand, four hundred thirty-two".