8966018137561 has 9 divisors (see below), whose sum is σ = 8982634434111. Its totient is φ = 8949432538152.

The previous prime is 8966018137513. The next prime is 8966018137691. The reversal of 8966018137561 is 1657318106698.

The square root of 8966018137561 is 2994331.

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

8966018137561 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 only one way, i.e., 2796537121225 + 6169481016336 = 1672285^2 + 2483844^2 .

It is not a de Polignac number, because 8966018137561 - 2⁹ = 8966018137049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8966018137561.

It is not an unprimeable number, because it can be changed into a prime (8966018137501) 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, 1817556451 + ... + 1817561383.

It is an arithmetic number, because the mean of its divisors is an integer number (998070492679).

Almost surely, 2^{8966018137561} is an apocalyptic number.

8966018137561 is the 2994331-st square number.

8966018137561 is the 1497166-th centered octagonal number.

It is an amenable number.

8966018137561 is a deficient number, since it is larger than the sum of its proper divisors (16616296550).

8966018137561 is an frugal number, since it uses more digits than its factorization.

8966018137561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 8966018137561 in words is "eight trillion, nine hundred sixty-six billion, eighteen million, one hundred thirty-seven thousand, five hundred sixty-one".