114450624 has 112 divisors (see below), whose sum is σ = 340156800. Its totient is φ = 37732608.

The previous prime is 114450607. The next prime is 114450643. The reversal of 114450624 is 426054411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184587 + ... + 185205.

Almost surely, 2^114450624 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 114450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

114450624 is an abundant number, since it is smaller than the sum of its proper divisors (225706176).

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

114450624 is a wasteful number, since it uses less digits than its factorization.

114450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 114450624 is about 10698.1598417672. The cubic root of 114450624 is about 485.5188043159.

The spelling of 114450624 in words is "one hundred fourteen million, four hundred fifty thousand, six hundred twenty-four".