114166289872800 has 1080 divisors, whose sum is σ = 477530216922528. Its totient is φ = 26473300761600.

The previous prime is 114166289872769. The next prime is 114166289872807. The reversal of 114166289872800 is 8278982661411.

114166289872800 is a `hidden beast` number, since 1 + 1 + 416 + 62 + 8 + 9 + 87 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is not an unprimeable number, because it can be changed into a prime (114166289872807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 180021867 + ... + 180654933.

Almost surely, 2^{114166289872800} is an apocalyptic number.

114166289872800 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 114166289872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238765108461264).

114166289872800 is an abundant number, since it is smaller than the sum of its proper divisors (363363927049728).

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

114166289872800 is a wasteful number, since it uses less digits than its factorization.

114166289872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633144 (or 633111 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 114166289872800 in words is "one hundred fourteen trillion, one hundred sixty-six billion, two hundred eighty-nine million, eight hundred seventy-two thousand, eight hundred".