193809706848 has 144 divisors (see below), whose sum is σ = 563752949760. Its totient is φ = 63129846528.

The previous prime is 193809706829. The next prime is 193809706897. The reversal of 193809706848 is 848607908391.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8909361 + ... + 8931087.

It is an arithmetic number, because the mean of its divisors is an integer number (3914951040).

Almost surely, 2^193809706848 is an apocalyptic number.

193809706848 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 193809706848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281876474880).

193809706848 is an abundant number, since it is smaller than the sum of its proper divisors (369943242912).

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

193809706848 is a wasteful number, since it uses less digits than its factorization.

193809706848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449 (or 22438 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 193809706848 in words is "one hundred ninety-three billion, eight hundred nine million, seven hundred six thousand, eight hundred forty-eight".