180010972729 has 9 divisors (see below), whose sum is σ = 209403974181. Its totient is φ = 154292573820.

The previous prime is 180010972721. The next prime is 180010972849. The reversal of 180010972729 is 927279010081.

The square root of 180010972729 is 424277.

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

It is not a de Polignac number, because 180010972729 - 2³ = 180010972721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180010972721) 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 in 8 ways as a sum of consecutive naturals, for example, 2939634 + ... + 3000244.

Almost surely, 2^180010972729 is an apocalyptic number.

180010972729 is the 424277-th square number.

180010972729 is the 212139-th centered octagonal number.

It is an amenable number.

180010972729 is a deficient number, since it is larger than the sum of its proper divisors (29393001452).

180010972729 is an frugal number, since it uses more digits than its factorization.

180010972729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121236 (or 60618 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 46.

The spelling of 180010972729 in words is "one hundred eighty billion, ten million, nine hundred seventy-two thousand, seven hundred twenty-nine".