116764889514336 has 2160 divisors, whose sum is σ = 442441541824128. Its totient is φ = 30005635645440.

The previous prime is 116764889514311. The next prime is 116764889514359. The reversal of 116764889514336 is 633415988467611.

116764889514336 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 64 + 8 + 89 + 51 + 433 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 192363903345 + ... + 192363903951.

Almost surely, 2^{116764889514336} is an apocalyptic number.

116764889514336 is a gapful number since it is divisible by the number (16) 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 116764889514336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221220770912064).

116764889514336 is an abundant number, since it is smaller than the sum of its proper divisors (325676652309792).

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

116764889514336 is a wasteful number, since it uses less digits than its factorization.

116764889514336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 730 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 116764889514336 in words is "one hundred sixteen trillion, seven hundred sixty-four billion, eight hundred eighty-nine million, five hundred fourteen thousand, three hundred thirty-six".