116534447568000 has 9216 divisors, whose sum is σ = 602179329024000. Its totient is φ = 21459271680000.

The previous prime is 116534447567971. The next prime is 116534447568013. The reversal of 116534447568000 is 865744435611.

116534447568000 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 34 + 4 + 47 + 568 + 0 + 0 + 0 = 666.

116534447568000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116534447568000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3149579663982 + ... + 3149579664018.

It is an arithmetic number, because the mean of its divisors is an integer number (65340639000).

Almost surely, 2^{116534447568000} is an apocalyptic number.

116534447568000 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 116534447568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301089664512000).

116534447568000 is an abundant number, since it is smaller than the sum of its proper divisors (485644881456000).

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

116534447568000 is a wasteful number, since it uses less digits than its factorization.

116534447568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 116534447568000 in words is "one hundred sixteen trillion, five hundred thirty-four billion, four hundred forty-seven million, five hundred sixty-eight thousand".