116615886686208 has 1728 divisors, whose sum is σ = 433257611230080. Its totient is φ = 30556219244544.

The previous prime is 116615886686183. The next prime is 116615886686237. The reversal of 116615886686208 is 802686688516611.

116615886686208 is a `hidden beast` number, since 1 + 16 + 6 + 1 + 588 + 6 + 6 + 8 + 6 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×116615886686208² (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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346041206616 + ... + 346041206952.

Almost surely, 2^{116615886686208} is an apocalyptic number.

116615886686208 is a gapful number since it is divisible by the number (18) 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 116615886686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216628805615040).

116615886686208 is an abundant number, since it is smaller than the sum of its proper divisors (316641724543872).

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

116615886686208 is an frugal number, since it uses more digits than its factorization.

116615886686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 116615886686208 in words is "one hundred sixteen trillion, six hundred fifteen billion, eight hundred eighty-six million, six hundred eighty-six thousand, two hundred eight".