8345564099161 has 45 divisors (see below), whose sum is σ = 9003418787061. Its totient is φ = 7735674742488.

The previous prime is 8345564099149. The next prime is 8345564099177. The reversal of 8345564099161 is 1619904655438.

It is a happy number.

The square root of 8345564099161 is 2888869.

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

It is not a de Polignac number, because 8345564099161 - 2⁵ = 8345564099129 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 8345564099161.

It is not an unprimeable number, because it can be changed into a prime (8345564099261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65713103080 + ... + 65713103206.

Almost surely, 2^{8345564099161} is an apocalyptic number.

8345564099161 is the 2888869-th square number.

8345564099161 is the 1444435-th centered octagonal number.

It is an amenable number.

8345564099161 is a deficient number, since it is larger than the sum of its proper divisors (657854687900).

8345564099161 is an frugal number, since it uses more digits than its factorization.

8345564099161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 8345564099161 in words is "eight trillion, three hundred forty-five billion, five hundred sixty-four million, ninety-nine thousand, one hundred sixty-one".