180802693681 has 27 divisors (see below), whose sum is σ = 188715089451. Its totient is φ = 173219941584.

The previous prime is 180802693657. The next prime is 180802693703. The reversal of 180802693681 is 186396208081.

The square root of 180802693681 is 425209.

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., 126018610081 + 54784083600 = 354991^2 + 234060^2 .

It is not a de Polignac number, because 180802693681 - 2¹³ = 180802685489 is a prime.

It is a super-2 number, since 2×180802693681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180802697681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1658740255 + ... + 1658740363.

Almost surely, 2^180802693681 is an apocalyptic number.

180802693681 is the 425209-th square number.

180802693681 is the 212605-th centered octagonal number.

It is an amenable number.

180802693681 is a deficient number, since it is larger than the sum of its proper divisors (7912395770).

180802693681 is an frugal number, since it uses more digits than its factorization.

180802693681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 180802693681 in words is "one hundred eighty billion, eight hundred two million, six hundred ninety-three thousand, six hundred eighty-one".