8431072984161 has 9 divisors (see below), whose sum is σ = 12178229115091. Its totient is φ = 5620709515512.

The previous prime is 8431072984129. The next prime is 8431072984171. The reversal of 8431072984161 is 1614892701348.

The square root of 8431072984161 is 2903631.

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

8431072984161 is a `hidden beast` number, since 8 + 431 + 0 + 72 + 9 + 84 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 858911900625 + 7572161083536 = 926775^2 + 2751756^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8431072984161 - 2⁵ = 8431072984129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8431072984098 and 8431072984107.

It is not an unprimeable number, because it can be changed into a prime (8431072984171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8226955 + ... + 9194831.

Almost surely, 2^{8431072984161} is an apocalyptic number.

8431072984161 is the 2903631-st square number.

8431072984161 is the 1451816-th centered octagonal number.

It is an amenable number.

8431072984161 is a deficient number, since it is larger than the sum of its proper divisors (3747156130930).

8431072984161 is an frugal number, since it uses more digits than its factorization.

8431072984161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935760 (or 967880 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8431072984161 in words is "eight trillion, four hundred thirty-one billion, seventy-two million, nine hundred eighty-four thousand, one hundred sixty-one".