193980834432 has 960 divisors, whose sum is σ = 738036748800. Its totient is φ = 47839334400.

The previous prime is 193980834413. The next prime is 193980834503. The reversal of 193980834432 is 234438089391.

193980834432 is a `hidden beast` number, since 1 + 93 + 98 + 0 + 8 + 34 + 432 = 666.

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 119 ways as a sum of consecutive naturals, for example, 3660015718 + ... + 3660015770.

It is an arithmetic number, because the mean of its divisors is an integer number (768788280).

Almost surely, 2^193980834432 is an apocalyptic number.

193980834432 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 193980834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369018374400).

193980834432 is an abundant number, since it is smaller than the sum of its proper divisors (544055914368).

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

193980834432 is an equidigital number, since it uses as much as digits as its factorization.

193980834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 193980834432 in words is "one hundred ninety-three billion, nine hundred eighty million, eight hundred thirty-four thousand, four hundred thirty-two".