114664818960 has 120 divisors (see below), whose sum is σ = 385165299480. Its totient is φ = 30570725376.

The previous prime is 114664818959. The next prime is 114664819007. The reversal of 114664818960 is 69818466411.

114664818960 is a `hidden beast` number, since 1 + 1 + 466 + 48 + 1 + 89 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26932748544 + 87732070416 = 164112^2 + 296196^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 114664818897 and 114664818906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3995382 + ... + 4023978.

It is an arithmetic number, because the mean of its divisors is an integer number (3209710829).

Almost surely, 2^114664818960 is an apocalyptic number.

114664818960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114664818960 is an abundant number, since it is smaller than the sum of its proper divisors (270500480520).

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

114664818960 is a wasteful number, since it uses less digits than its factorization.

114664818960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34185 (or 34176 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 114664818960 in words is "one hundred fourteen billion, six hundred sixty-four million, eight hundred eighteen thousand, nine hundred sixty".