195512879038464 has 405 divisors, whose sum is σ = 611804149599279. Its totient is φ = 60136331673600.

The previous prime is 195512879038409. The next prime is 195512879038511. The reversal of 195512879038464 is 464830978215591.

The square root of 195512879038464 is 13982592.

It is a perfect power (a square), and thus also a powerful number.

195512879038464 is a `hidden beast` number, since 1 + 9 + 5 + 5 + 128 + 7 + 9 + 0 + 38 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26933608857600 + 168579270180864 = 5189760^2 + 12983808^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 195512879038392 and 195512879038401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69801097864 + ... + 69801100664.

It is a 1-persistent number, because it is pandigital, but 2⋅195512879038464 = 391025758076928 is not.

Almost surely, 2^{195512879038464} is an apocalyptic number.

195512879038464 is the 13982592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195512879038464

195512879038464 is an abundant number, since it is smaller than the sum of its proper divisors (416291270560815).

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

195512879038464 is an frugal number, since it uses more digits than its factorization.

195512879038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 195512879038464 in words is "one hundred ninety-five trillion, five hundred twelve billion, eight hundred seventy-nine million, thirty-eight thousand, four hundred sixty-four".