166683576361 has 9 divisors (see below), whose sum is σ = 168218265189. Its totient is φ = 165162774336.

The previous prime is 166683576359. The next prime is 166683576379. The reversal of 166683576361 is 163675386661.

It is a happy number.

The square root of 166683576361 is 408269.

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 162625886361 + 4057690000 = 403269^2 + 63700^2 .

It is not a de Polignac number, because 166683576361 - 2¹ = 166683576359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166683576296 and 166683576305.

It is not an unprimeable number, because it can be changed into a prime (166683576461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46132591 + ... + 46136203.

Almost surely, 2^166683576361 is an apocalyptic number.

166683576361 is the 408269-th square number.

166683576361 is the 204135-th centered octagonal number.

It is an amenable number.

166683576361 is a deficient number, since it is larger than the sum of its proper divisors (1534688828).

166683576361 is an frugal number, since it uses more digits than its factorization.

166683576361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452 (or 3726 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

It can be divided in two parts, 166683 and 576361, that added together give a square (743044 = 862²).

The spelling of 166683576361 in words is "one hundred sixty-six billion, six hundred eighty-three million, five hundred seventy-six thousand, three hundred sixty-one".