180726164161 has 15 divisors (see below), whose sum is σ = 192152040933. Its totient is φ = 169979580960.

The previous prime is 180726164131. The next prime is 180726164189. The reversal of 180726164161 is 161461627081.

The square root of 180726164161 is 425119.

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

It can be written as a sum of positive squares in 2 ways, for example, as 56088922561 + 124637241600 = 236831^2 + 353040^2 .

It is not a de Polignac number, because 180726164161 - 2¹⁵ = 180726131393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180726164131) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 122858656 + ... + 122860126.

Almost surely, 2^180726164161 is an apocalyptic number.

180726164161 is the 425119-th square number.

180726164161 is the 212560-th centered octagonal number.

It is an amenable number.

180726164161 is a deficient number, since it is larger than the sum of its proper divisors (11425876772).

180726164161 is an frugal number, since it uses more digits than its factorization.

180726164161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 180726164161 in words is "one hundred eighty billion, seven hundred twenty-six million, one hundred sixty-four thousand, one hundred sixty-one".