116816999644800 has 6912 divisors, whose sum is σ = 596736393926400. Its totient is φ = 21894667960320.

The previous prime is 116816999644771. The next prime is 116816999644889. The reversal of 116816999644800 is 8446999618611.

116816999644800 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 6 + 99 + 96 + 448 + 0 + 0 = 666.

It is a super-2 number, since 2×116816999644800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 434263939066 + ... + 434263939334.

It is an arithmetic number, because the mean of its divisors is an integer number (86333390325).

Almost surely, 2^{116816999644800} is an apocalyptic number.

116816999644800 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 116816999644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298368196963200).

116816999644800 is an abundant number, since it is smaller than the sum of its proper divisors (479919394281600).

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

116816999644800 is a wasteful number, since it uses less digits than its factorization.

116816999644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 116816999644800 in words is "one hundred sixteen trillion, eight hundred sixteen billion, nine hundred ninety-nine million, six hundred forty-four thousand, eight hundred".