180404628127441 has 9 divisors (see below), whose sum is σ = 191641145100699. Its totient is φ = 169792376275104.

The previous prime is 180404628127403. The next prime is 180404628127453. The reversal of 180404628127441 is 144721826404081.

The square root of 180404628127441 is 13431479.

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

It can be written as a sum of positive squares in only one way, i.e., 140453430203025 + 39951197924416 = 11851305^2 + 6320696^2 .

It is a de Polignac number, because none of the positive numbers 2^k-180404628127441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180404628122441) 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, 227940100 + ... + 228730186.

Almost surely, 2^{180404628127441} is an apocalyptic number.

180404628127441 is the 13431479-th square number.

180404628127441 is the 6715740-th centered octagonal number.

It is an amenable number.

180404628127441 is a deficient number, since it is larger than the sum of its proper divisors (11236516973258).

180404628127441 is an frugal number, since it uses more digits than its factorization.

180404628127441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580208 (or 790104 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 52.

The spelling of 180404628127441 in words is "one hundred eighty trillion, four hundred four billion, six hundred twenty-eight million, one hundred twenty-seven thousand, four hundred forty-one".