114039989856 has 384 divisors, whose sum is σ = 374199436800. Its totient is φ = 33554995200.

The previous prime is 114039989837. The next prime is 114039989873. The reversal of 114039989856 is 658989930411.

114039989856 is a `hidden beast` number, since 1 + 1 + 403 + 9 + 98 + 98 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 114039989793 and 114039989802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24517131 + ... + 24521781.

It is an arithmetic number, because the mean of its divisors is an integer number (974477700).

Almost surely, 2^114039989856 is an apocalyptic number.

114039989856 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 114039989856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187099718400).

114039989856 is an abundant number, since it is smaller than the sum of its proper divisors (260159446944).

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

114039989856 is a wasteful number, since it uses less digits than its factorization.

114039989856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

It can be divided in two parts, 1140399 and 89856, that multiplied together give a square (102471692544 = 320112²).

The spelling of 114039989856 in words is "one hundred fourteen billion, thirty-nine million, nine hundred eighty-nine thousand, eight hundred fifty-six".