114114432 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 37148160.

The previous prime is 114114397. The next prime is 114114491. The reversal of 114114432 is 234411411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114114399 and 114114408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13057 + ... + 19967.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2^114114432 is an apocalyptic number.

114114432 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 114114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

114114432 is an abundant number, since it is smaller than the sum of its proper divisors (196096128).

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

114114432 is an equidigital number, since it uses as much as digits as its factorization.

114114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6959 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 114114432 is about 10682.4356773163. The cubic root of 114114432 is about 485.0429437300.

Adding to 114114432 its reverse (234411411), we get a palindrome (348525843).

The spelling of 114114432 in words is "one hundred fourteen million, one hundred fourteen thousand, four hundred thirty-two".