114304389120 has 624 divisors, whose sum is σ = 421979351040. Its totient is φ = 28538044416.

The previous prime is 114304389119. The next prime is 114304389137. The reversal of 114304389120 is 21983403411.

114304389120 is a `hidden beast` number, since 114 + 3 + 0 + 438 + 91 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444764032 + ... + 444764288.

It is an arithmetic number, because the mean of its divisors is an integer number (676248960).

Almost surely, 2^114304389120 is an apocalyptic number.

114304389120 is a gapful number since it is divisible by the number (10) 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 114304389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210989675520).

114304389120 is an abundant number, since it is smaller than the sum of its proper divisors (307674961920).

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

114304389120 is a wasteful number, since it uses less digits than its factorization.

114304389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 114304389120 in words is "one hundred fourteen billion, three hundred four million, three hundred eighty-nine thousand, one hundred twenty".