116868414504960 has 680 divisors, whose sum is σ = 419842705555680. Its totient is φ = 31101627138048.

The previous prime is 116868414504923. The next prime is 116868414504967. The reversal of 116868414504960 is 69405414868611.

116868414504960 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 6 + 84 + 1 + 450 + 49 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116868414504967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13881503631 + ... + 13881512049.

Almost surely, 2^{116868414504960} is an apocalyptic number.

116868414504960 is a gapful number since it is divisible by the number (10) 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 116868414504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209921352777840).

116868414504960 is an abundant number, since it is smaller than the sum of its proper divisors (302974291050720).

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

116868414504960 is an frugal number, since it uses more digits than its factorization.

116868414504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 116868414504960 in words is "one hundred sixteen trillion, eight hundred sixty-eight billion, four hundred fourteen million, five hundred four thousand, nine hundred sixty".