8844194218561 has 27 divisors (see below), whose sum is σ = 9675087375177. Its totient is φ = 8080970620320.

The previous prime is 8844194218543. The next prime is 8844194218567. The reversal of 8844194218561 is 1658124914488.

The square root of 8844194218561 is 2973919.

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

It can be written as a sum of positive squares in 4 ways, for example, as 378747930625 + 8465446287936 = 615425^2 + 2909544^2 .

It is not a de Polignac number, because 8844194218561 - 2²³ = 8844185829953 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 8844194218561.

It is not an unprimeable number, because it can be changed into a prime (8844194218567) 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, 3982076431 + ... + 3982078651.

It is an arithmetic number, because the mean of its divisors is an integer number (358336569451).

Almost surely, 2^{8844194218561} is an apocalyptic number.

8844194218561 is the 2973919-th square number.

8844194218561 is the 1486960-th centered octagonal number.

It is an amenable number.

8844194218561 is a deficient number, since it is larger than the sum of its proper divisors (830893156616).

8844194218561 is an frugal number, since it uses more digits than its factorization.

8844194218561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 2337 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 61.

The spelling of 8844194218561 in words is "eight trillion, eight hundred forty-four billion, one hundred ninety-four million, two hundred eighteen thousand, five hundred sixty-one".