170609476401 has 243 divisors, whose sum is σ = 333498899331. Its totient is φ = 83746510848.

The previous prime is 170609476369. The next prime is 170609476403. The reversal of 170609476401 is 104674906071.

The square root of 170609476401 is 413049.

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

170609476401 is a `hidden beast` number, since 170 + 6 + 0 + 9 + 4 + 76 + 401 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 149613466401 + 20996010000 = 386799^2 + 144900^2 .

It is not a de Polignac number, because 170609476401 - 2⁵ = 170609476369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (170609476403) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1916960365 + ... + 1916960453.

Almost surely, 2^170609476401 is an apocalyptic number.

170609476401 is the 413049-th square number.

170609476401 is the 206525-th centered octagonal number.

It is an amenable number.

170609476401 is a deficient number, since it is larger than the sum of its proper divisors (162889422930).

170609476401 is a wasteful number, since it uses less digits than its factorization.

170609476401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 170609476401 in words is "one hundred seventy billion, six hundred nine million, four hundred seventy-six thousand, four hundred one".