116434184832 has 768 divisors, whose sum is σ = 426645273600. Its totient is φ = 30851186688.

The previous prime is 116434184819. The next prime is 116434184861. The reversal of 116434184832 is 238481434611.

116434184832 is a `hidden beast` number, since 1 + 1 + 6 + 434 + 184 + 8 + 32 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 307214019 + ... + 307214397.

It is an arithmetic number, because the mean of its divisors is an integer number (555527700).

Almost surely, 2^116434184832 is an apocalyptic number.

116434184832 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 116434184832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213322636800).

116434184832 is an abundant number, since it is smaller than the sum of its proper divisors (310211088768).

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

116434184832 is an equidigital number, since it uses as much as digits as its factorization.

116434184832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 116434184832 in words is "one hundred sixteen billion, four hundred thirty-four million, one hundred eighty-four thousand, eight hundred thirty-two".