116034999895584 has 576 divisors, whose sum is σ = 436203486351360. Its totient is φ = 28326562652160.

The previous prime is 116034999895537. The next prime is 116034999895613. The reversal of 116034999895584 is 485598999430611.

116034999895584 is a `hidden beast` number, since 1 + 1 + 60 + 349 + 9 + 98 + 9 + 55 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270843207 + ... + 271271289.

It is an arithmetic number, because the mean of its divisors is an integer number (757297719360).

Almost surely, 2^{116034999895584} is an apocalyptic number.

116034999895584 is a gapful number since it is divisible by the number (14) 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 116034999895584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218101743175680).

116034999895584 is an abundant number, since it is smaller than the sum of its proper divisors (320168486455776).

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

116034999895584 is a wasteful number, since it uses less digits than its factorization.

116034999895584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428853 (or 428842 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 81.

The spelling of 116034999895584 in words is "one hundred sixteen trillion, thirty-four billion, nine hundred ninety-nine million, eight hundred ninety-five thousand, five hundred eighty-four".