116064482688 has 1536 divisors, whose sum is σ = 470486016000. Its totient is φ = 28165294080.

The previous prime is 116064482671. The next prime is 116064482719. The reversal of 116064482688 is 886284460611.

It is a happy number.

116064482688 is a `hidden beast` number, since 1 + 1 + 606 + 4 + 4 + 8 + 26 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2699173995 + ... + 2699174037.

It is an arithmetic number, because the mean of its divisors is an integer number (306306000).

Almost surely, 2^116064482688 is an apocalyptic number.

116064482688 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 116064482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235243008000).

116064482688 is an abundant number, since it is smaller than the sum of its proper divisors (354421533312).

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

116064482688 is an equidigital number, since it uses as much as digits as its factorization.

116064482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 116064482688 in words is "one hundred sixteen billion, sixty-four million, four hundred eighty-two thousand, six hundred eighty-eight".