172095409568196 has 81 divisors (see below), whose sum is σ = 435780124228813. Its totient is φ = 57264937312800.

The previous prime is 172095409568183. The next prime is 172095409568297. The reversal of 172095409568196 is 691865904590271.

The square root of 172095409568196 is 13118514.

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

172095409568196 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 9 + 5 + 40 + 9 + 568 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148420956958596 + 23674452609600 = 12182814^2 + 4865640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55176468325 + ... + 55176471443.

Almost surely, 2^{172095409568196} is an apocalyptic number.

172095409568196 is the 13118514-th square number.

It is an amenable number.

172095409568196 is an abundant number, since it is smaller than the sum of its proper divisors (263684714660617).

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

172095409568196 is an frugal number, since it uses more digits than its factorization.

172095409568196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 172095409568196 in words is "one hundred seventy-two trillion, ninety-five billion, four hundred nine million, five hundred sixty-eight thousand, one hundred ninety-six".