114324022624 has 96 divisors (see below), whose sum is σ = 259180992000. Its totient is φ = 48625505280.

The previous prime is 114324022577. The next prime is 114324022627. The reversal of 114324022624 is 426220423411.

114324022624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114324022627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18674284 + ... + 18680404.

It is an arithmetic number, because the mean of its divisors is an integer number (2699802000).

Almost surely, 2^114324022624 is an apocalyptic number.

114324022624 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 114324022624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129590496000).

114324022624 is an abundant number, since it is smaller than the sum of its proper divisors (144856969376).

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

114324022624 is a wasteful number, since it uses less digits than its factorization.

114324022624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 114324022624 in words is "one hundred fourteen billion, three hundred twenty-four million, twenty-two thousand, six hundred twenty-four".