180319978881 has 81 divisors (see below), whose sum is σ = 308306996361. Its totient is φ = 101261591424.

The previous prime is 180319978871. The next prime is 180319978901. The reversal of 180319978881 is 188879913081.

The square root of 180319978881 is 424641.

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

180319978881 is a `hidden beast` number, since 1 + 80 + 319 + 97 + 88 + 81 = 666.

180319978881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14687258481 + 165632720400 = 121191^2 + 406980^2 .

It is not a de Polignac number, because 180319978881 - 2⁵ = 180319978849 is a prime.

It is a super-2 number, since 2×180319978881² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (180319978871) 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 in 80 ways as a sum of consecutive naturals, for example, 650974515 + ... + 650974791.

Almost surely, 2^180319978881 is an apocalyptic number.

180319978881 is the 424641-st square number.

180319978881 is the 212321-st centered octagonal number.

It is an amenable number.

180319978881 is a deficient number, since it is larger than the sum of its proper divisors (127987017480).

180319978881 is an frugal number, since it uses more digits than its factorization.

180319978881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 63.

The spelling of 180319978881 in words is "one hundred eighty billion, three hundred nineteen million, nine hundred seventy-eight thousand, eight hundred eighty-one".