114516558696960 has 960 divisors, whose sum is σ = 477304471987200. Its totient is φ = 24787799801856.

The previous prime is 114516558696871. The next prime is 114516558696961. The reversal of 114516558696960 is 69696855615411.

It is a happy number.

114516558696960 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 6 + 558 + 6 + 9 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×114516558696960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (114516558696961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9986613147 + ... + 9986624613.

It is an arithmetic number, because the mean of its divisors is an integer number (497192158320).

Almost surely, 2^{114516558696960} is an apocalyptic number.

114516558696960 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 114516558696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238652235993600).

114516558696960 is an abundant number, since it is smaller than the sum of its proper divisors (362787913290240).

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

114516558696960 is a wasteful number, since it uses less digits than its factorization.

114516558696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14781 (or 14762 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 114516558696960 in words is "one hundred fourteen trillion, five hundred sixteen billion, five hundred fifty-eight million, six hundred ninety-six thousand, nine hundred sixty".