114838524 has 72 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 37380000.

The previous prime is 114838513. The next prime is 114838543. The reversal of 114838524 is 425838411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457399 + ... + 457649.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^114838524 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 114838524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

114838524 is an abundant number, since it is smaller than the sum of its proper divisors (182360196).

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

114838524 is a wasteful number, since it uses less digits than its factorization.

114838524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 114838524 is about 10716.2737926949. The cubic root of 114838524 is about 486.0666981569.

The spelling of 114838524 in words is "one hundred fourteen million, eight hundred thirty-eight thousand, five hundred twenty-four".