180164186689 has 2 divisors, whose sum is σ = 180164186690. Its totient is φ = 180164186688.

The previous prime is 180164186651. The next prime is 180164186693. The reversal of 180164186689 is 986681461081.

180164186689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138551450625 + 41612736064 = 372225^2 + 203992^2 .

It is an emirp because it is prime and its reverse (986681461081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180164186689 - 2¹³ = 180164178497 is a prime.

It is not a weakly prime, because it can be changed into another prime (180164186639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90082093344 + 90082093345.

It is an arithmetic number, because the mean of its divisors is an integer number (90082093345).

Almost surely, 2^180164186689 is an apocalyptic number.

It is an amenable number.

180164186689 is a deficient number, since it is larger than the sum of its proper divisors (1).

180164186689 is an equidigital number, since it uses as much as digits as its factorization.

180164186689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 180164186689 in words is "one hundred eighty billion, one hundred sixty-four million, one hundred eighty-six thousand, six hundred eighty-nine".