173688064081 has 27 divisors (see below), whose sum is σ = 209354597361. Its totient is φ = 143671830624.

The previous prime is 173688064079. The next prime is 173688064091. The reversal of 173688064081 is 180460886371.

The square root of 173688064081 is 416759.

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 285779025 + 173402285056 = 16905^2 + 416416^2 .

It is not a de Polignac number, because 173688064081 - 2¹ = 173688064079 is a prime.

It is a super-2 number, since 2×173688064081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (173688064091) 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, 84601051 + ... + 84603103.

Almost surely, 2^173688064081 is an apocalyptic number.

173688064081 is the 416759-th square number.

173688064081 is the 208380-th centered octagonal number.

It is an amenable number.

173688064081 is a deficient number, since it is larger than the sum of its proper divisors (35666533280).

173688064081 is an frugal number, since it uses more digits than its factorization.

173688064081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 173688064081 in words is "one hundred seventy-three billion, six hundred eighty-eight million, sixty-four thousand, eighty-one".