173664726361 has 27 divisors (see below), whose sum is σ = 207754787709. Its totient is φ = 144742344768.

The previous prime is 173664726359. The next prime is 173664726379. The reversal of 173664726361 is 163627466371.

The square root of 173664726361 is 416731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 136630033225 + 37034693136 = 369635^2 + 192444^2 .

It is not a de Polignac number, because 173664726361 - 2¹ = 173664726359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 173664726299 and 173664726308.

It is not an unprimeable number, because it can be changed into a prime (173664726311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107932525 + ... + 107934133.

It is an arithmetic number, because the mean of its divisors is an integer number (7694621767).

Almost surely, 2^173664726361 is an apocalyptic number.

173664726361 is the 416731-st square number.

173664726361 is the 208366-th centered octagonal number.

It is an amenable number.

173664726361 is a deficient number, since it is larger than the sum of its proper divisors (34090061348).

173664726361 is an frugal number, since it uses more digits than its factorization.

173664726361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 1653 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 52.

The spelling of 173664726361 in words is "one hundred seventy-three billion, six hundred sixty-four million, seven hundred twenty-six thousand, three hundred sixty-one".