114234624 has 180 divisors, whose sum is σ = 389782624. Its totient is φ = 32596992.

The previous prime is 114234623. The next prime is 114234647. The reversal of 114234624 is 426432411.

It is a happy number.

114234624 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 34 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114234623) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 144759 + ... + 145545.

Almost surely, 2^114234624 is an apocalyptic number.

114234624 is a gapful number since it is divisible by the number (14) 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 114234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194891312).

114234624 is an abundant number, since it is smaller than the sum of its proper divisors (275548000).

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

114234624 is an frugal number, since it uses more digits than its factorization.

114234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 799 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 114234624 is about 10688.0598800718. The cubic root of 114234624 is about 485.2131758520.

The spelling of 114234624 in words is "one hundred fourteen million, two hundred thirty-four thousand, six hundred twenty-four".