116933583604992 has 1728 divisors, whose sum is σ = 421656805785600. Its totient is φ = 28398698496000.

The previous prime is 116933583604829. The next prime is 116933583605009. The reversal of 116933583604992 is 299406385339611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57348495109 + ... + 57348497147.

It is an arithmetic number, because the mean of its divisors is an integer number (244014355200).

Almost surely, 2^{116933583604992} is an apocalyptic number.

116933583604992 is a gapful number since it is divisible by the number (12) 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 116933583604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210828402892800).

116933583604992 is an abundant number, since it is smaller than the sum of its proper divisors (304723222180608).

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

116933583604992 is a wasteful number, since it uses less digits than its factorization.

116933583604992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 116933583604992 in words is "one hundred sixteen trillion, nine hundred thirty-three billion, five hundred eighty-three million, six hundred four thousand, nine hundred ninety-two".