114241584 has 80 divisors (see below), whose sum is σ = 305694720. Its totient is φ = 36741120.

The previous prime is 114241573. The next prime is 114241597. The reversal of 114241584 is 485142411.

It is a super-2 number, since 2×114241584² = 26102279029658112, which contains 22 as substring.

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, 177904 + ... + 178544.

It is an arithmetic number, because the mean of its divisors is an integer number (3821184).

Almost surely, 2^114241584 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 114241584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152847360).

114241584 is an abundant number, since it is smaller than the sum of its proper divisors (191453136).

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

114241584 is a wasteful number, since it uses less digits than its factorization.

114241584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 114241584 is about 10688.3854720907. The cubic root of 114241584 is about 485.2230298846.

Adding to 114241584 its reverse (485142411), we get a palindrome (599383995).

The spelling of 114241584 in words is "one hundred fourteen million, two hundred forty-one thousand, five hundred eighty-four".