116328382632 has 1152 divisors, whose sum is σ = 441703342080. Its totient is φ = 28021593600.

The previous prime is 116328382627. The next prime is 116328382679. The reversal of 116328382632 is 236283823611.

116328382632 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 8 + 3 + 8 + 2 + 632 = 666.

It is a super-3 number, since 3×116328382632³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2194875118 + ... + 2194875170.

It is an arithmetic number, because the mean of its divisors is an integer number (383423040).

Almost surely, 2^116328382632 is an apocalyptic number.

116328382632 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 116328382632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220851671040).

116328382632 is an abundant number, since it is smaller than the sum of its proper divisors (325374959448).

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

116328382632 is a wasteful number, since it uses less digits than its factorization.

116328382632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 116328382632 in words is "one hundred sixteen billion, three hundred twenty-eight million, three hundred eighty-two thousand, six hundred thirty-two".