180341290832641 has 9 divisors (see below), whose sum is σ = 182391573741321. Its totient is φ = 178313802431424.

The previous prime is 180341290832609. The next prime is 180341290832657. The reversal of 180341290832641 is 146238092143081.

The square root of 180341290832641 is 13429121.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62273073386241 + 118068217446400 = 7891329^2 + 10865920^2 .

It is not a de Polignac number, because 180341290832641 - 2⁵ = 180341290832609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180341270832641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1195116325 + ... + 1195267213.

Almost surely, 2^{180341290832641} is an apocalyptic number.

180341290832641 is the 13429121-st square number.

180341290832641 is the 6714561-st centered octagonal number.

It is an amenable number.

180341290832641 is a deficient number, since it is larger than the sum of its proper divisors (2050282908680).

180341290832641 is an frugal number, since it uses more digits than its factorization.

180341290832641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301956 (or 150978 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 180341290832641 in words is "one hundred eighty trillion, three hundred forty-one billion, two hundred ninety million, eight hundred thirty-two thousand, six hundred forty-one".