195456409838768 has 80 divisors (see below), whose sum is σ = 411888084725376. Its totient is φ = 89314169118720.

The previous prime is 195456409838749. The next prime is 195456409838791. The reversal of 195456409838768 is 867838904654591.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16847996 + ... + 25976292.

Almost surely, 2^{195456409838768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195456409838768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205944042362688).

195456409838768 is an abundant number, since it is smaller than the sum of its proper divisors (216431674886608).

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

195456409838768 is a wasteful number, since it uses less digits than its factorization.

195456409838768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129342 (or 9129336 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 83.

The spelling of 195456409838768 in words is "one hundred ninety-five trillion, four hundred fifty-six billion, four hundred nine million, eight hundred thirty-eight thousand, seven hundred sixty-eight".