195368984130432 has 1024 divisors, whose sum is σ = 658300931481600. Its totient is φ = 50093066649600.

The previous prime is 195368984130361. The next prime is 195368984130457. The reversal of 195368984130432 is 234031489863591.

195368984130432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13119929707 + ... + 13119944597.

It is an arithmetic number, because the mean of its divisors is an integer number (642872003400).

Almost surely, 2^{195368984130432} is an apocalyptic number.

195368984130432 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 195368984130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329150465740800).

195368984130432 is an abundant number, since it is smaller than the sum of its proper divisors (462931947351168).

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

195368984130432 is a wasteful number, since it uses less digits than its factorization.

195368984130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15155 (or 15143 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 195368984130432 in words is "one hundred ninety-five trillion, three hundred sixty-eight billion, nine hundred eighty-four million, one hundred thirty thousand, four hundred thirty-two".