180185881224641 has 2 divisors, whose sum is σ = 180185881224642. Its totient is φ = 180185881224640.

The previous prime is 180185881224611. The next prime is 180185881224647. The reversal of 180185881224641 is 146422188581081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104629801934641 + 75556079290000 = 10228871^2 + 8692300^2 .

It is a cyclic number.

It is not a de Polignac number, because 180185881224641 - 2³⁴ = 180168701355457 is a prime.

It is not a weakly prime, because it can be changed into another prime (180185881224647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90092940612320 + 90092940612321.

It is an arithmetic number, because the mean of its divisors is an integer number (90092940612321).

Almost surely, 2^{180185881224641} is an apocalyptic number.

It is an amenable number.

180185881224641 is a deficient number, since it is larger than the sum of its proper divisors (1).

180185881224641 is an equidigital number, since it uses as much as digits as its factorization.

180185881224641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7864320, while the sum is 59.

The spelling of 180185881224641 in words is "one hundred eighty trillion, one hundred eighty-five billion, eight hundred eighty-one million, two hundred twenty-four thousand, six hundred forty-one".