116645710104 has 288 divisors, whose sum is σ = 405987379200. Its totient is φ = 29913287040.

The previous prime is 116645710091. The next prime is 116645710109. The reversal of 116645710104 is 401017546611.

116645710104 is a `hidden beast` number, since 1 + 1 + 6 + 645 + 7 + 1 + 0 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116645710109) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3046809 + ... + 3084855.

It is an arithmetic number, because the mean of its divisors is an integer number (1409678400).

Almost surely, 2^116645710104 is an apocalyptic number.

116645710104 is a gapful number since it is divisible by the number (14) 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 116645710104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202993689600).

116645710104 is an abundant number, since it is smaller than the sum of its proper divisors (289341669096).

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

116645710104 is a wasteful number, since it uses less digits than its factorization.

116645710104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38163 (or 38149 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 116645710104 in words is "one hundred sixteen billion, six hundred forty-five million, seven hundred ten thousand, one hundred four".