116543683872 has 960 divisors, whose sum is σ = 462356294400. Its totient is φ = 28449792000.

The previous prime is 116543683871. The next prime is 116543683901. The reversal of 116543683872 is 278386345611.

116543683872 is a `hidden beast` number, since 1 + 1 + 6 + 543 + 68 + 38 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116543683871) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 166253122 + ... + 166253822.

It is an arithmetic number, because the mean of its divisors is an integer number (481621140).

Almost surely, 2^116543683872 is an apocalyptic number.

116543683872 is a gapful number since it is divisible by the number (12) 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 116543683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231178147200).

116543683872 is an abundant number, since it is smaller than the sum of its proper divisors (345812610528).

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

116543683872 is a wasteful number, since it uses less digits than its factorization.

116543683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 741 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 116543683872 in words is "one hundred sixteen billion, five hundred forty-three million, six hundred eighty-three thousand, eight hundred seventy-two".