116009178734592 has 1344 divisors, whose sum is σ = 402401500300800. Its totient is φ = 31739160821760.

The previous prime is 116009178734549. The next prime is 116009178734597. The reversal of 116009178734592 is 295437871900611.

116009178734592 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 0 + 9 + 1 + 7 + 8 + 7 + 34 + 592 = 666.

It is not an unprimeable number, because it can be changed into a prime (116009178734597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176038207159 + ... + 176038207817.

It is an arithmetic number, because the mean of its divisors is an integer number (299405878200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅116009178734592 = 232018357469184, but 3⋅116009178734592 = 348027536203776 is not.

Almost surely, 2^{116009178734592} is an apocalyptic number.

116009178734592 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 116009178734592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201200750150400).

116009178734592 is an abundant number, since it is smaller than the sum of its proper divisors (286392321566208).

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

116009178734592 is a wasteful number, since it uses less digits than its factorization.

116009178734592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 116009178734592 in words is "one hundred sixteen trillion, nine billion, one hundred seventy-eight million, seven hundred thirty-four thousand, five hundred ninety-two".