114642190584 has 96 divisors (see below), whose sum is σ = 316075359600. Its totient is φ = 37527874560.

The previous prime is 114642190583. The next prime is 114642190601. The reversal of 114642190584 is 485091246411.

114642190584 is a `hidden beast` number, since 1 + 1 + 4 + 64 + 2 + 1 + 9 + 0 + 584 = 666.

114642190584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114642190584² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114642190583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4289904 + ... + 4316544.

Almost surely, 2^114642190584 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 114642190584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158037679800).

114642190584 is an abundant number, since it is smaller than the sum of its proper divisors (201433169016).

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

114642190584 is a wasteful number, since it uses less digits than its factorization.

114642190584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27725 (or 27718 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 114642190584 in words is "one hundred fourteen billion, six hundred forty-two million, one hundred ninety thousand, five hundred eighty-four".