114739581116160 has 3888 divisors, whose sum is σ = 571911150388032. Its totient is φ = 20708343152640.

The previous prime is 114739581116141. The next prime is 114739581116183. The reversal of 114739581116160 is 61611185937411.

114739581116160 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 3 + 9 + 5 + 8 + 1 + 11 + 616 + 0 = 666.

114739581116160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114739581116097 and 114739581116106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28033123074 + ... + 28033127166.

Almost surely, 2^{114739581116160} is an apocalyptic number.

114739581116160 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 114739581116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285955575194016).

114739581116160 is an abundant number, since it is smaller than the sum of its proper divisors (457171569271872).

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

114739581116160 is a wasteful number, since it uses less digits than its factorization.

114739581116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 114739581116160 in words is "one hundred fourteen trillion, seven hundred thirty-nine billion, five hundred eighty-one million, one hundred sixteen thousand, one hundred sixty".