114086320128 has 480 divisors, whose sum is σ = 375973678080. Its totient is φ = 34179563520.

The previous prime is 114086320043. The next prime is 114086320129. The reversal of 114086320128 is 821023680411.

114086320128 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 8 + 632 + 0 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114086320092 and 114086320101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114086320129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187950801 + ... + 187951407.

It is an arithmetic number, because the mean of its divisors is an integer number (783278496).

Almost surely, 2^114086320128 is an apocalyptic number.

114086320128 is a gapful number since it is divisible by the number (18) 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 114086320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187986839040).

114086320128 is an abundant number, since it is smaller than the sum of its proper divisors (261887357952).

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

114086320128 is a wasteful number, since it uses less digits than its factorization.

114086320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 114086320128 in words is "one hundred fourteen billion, eighty-six million, three hundred twenty thousand, one hundred twenty-eight".