6844664645361 has 9 divisors (see below), whose sum is σ = 9886749158091. Its totient is φ = 4563104531112.

The previous prime is 6844664645353. The next prime is 6844664645363. The reversal of 6844664645361 is 1635464664486.

The square root of 6844664645361 is 2616231.

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

6844664645361 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 66 + 464 + 53 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5482411517025 + 1362253128336 = 2341455^2 + 1167156^2 .

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

It is not a de Polignac number, because 6844664645361 - 2³ = 6844664645353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6844664645363) 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, 7412655 + ... + 8284731.

Almost surely, 2^{6844664645361} is an apocalyptic number.

6844664645361 is the 2616231-st square number.

6844664645361 is the 1308116-th centered octagonal number.

It is an amenable number.

6844664645361 is a deficient number, since it is larger than the sum of its proper divisors (3042084512730).

6844664645361 is an frugal number, since it uses more digits than its factorization.

6844664645361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744160 (or 872080 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 63.

The spelling of 6844664645361 in words is "six trillion, eight hundred forty-four billion, six hundred sixty-four million, six hundred forty-five thousand, three hundred sixty-one".