10809968841 has 27 divisors (see below), whose sum is σ = 18167358573. Its totient is φ = 6175877400.

The previous prime is 10809968821. The next prime is 10809968861. The reversal of 10809968841 is 14886990801.

The square root of 10809968841 is 103971.

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

It is an interprime number because it is at equal distance from previous prime (10809968821) and next prime (10809968861).

It is not a de Polignac number, because 10809968841 - 2¹¹ = 10809966793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10809968821) 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, 2180916 + ... + 2185866.

Almost surely, 2^10809968841 is an apocalyptic number.

10809968841 is the 103971-st square number.

10809968841 is the 51986-th centered octagonal number.

It is an amenable number.

10809968841 is a deficient number, since it is larger than the sum of its proper divisors (7357389732).

10809968841 is an frugal number, since it uses more digits than its factorization.

10809968841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10809968841 in words is "ten billion, eight hundred nine million, nine hundred sixty-eight thousand, eight hundred forty-one".