114839185536 has 384 divisors, whose sum is σ = 371759808000. Its totient is φ = 34856386560.

The previous prime is 114839185459. The next prime is 114839185543. The reversal of 114839185536 is 635581938411.

114839185536 is a `hidden beast` number, since 1 + 1 + 4 + 83 + 9 + 1 + 8 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30960450 + ... + 30964158.

It is an arithmetic number, because the mean of its divisors is an integer number (968124500).

Almost surely, 2^114839185536 is an apocalyptic number.

114839185536 is a gapful number since it is divisible by the number (16) 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 114839185536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185879904000).

114839185536 is an abundant number, since it is smaller than the sum of its proper divisors (256920622464).

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

114839185536 is a wasteful number, since it uses less digits than its factorization.

114839185536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3762 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 114839185536 in words is "one hundred fourteen billion, eight hundred thirty-nine million, one hundred eighty-five thousand, five hundred thirty-six".