10811147856961 has 9 divisors (see below), whose sum is σ = 10833655079779. Its totient is φ = 10788687317200.

The previous prime is 10811147856911. The next prime is 10811147856989. The reversal of 10811147856961 is 16965874111801.

It is a happy number.

The square root of 10811147856961 is 3288031.

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

It can be written as a sum of positive squares in only one way, i.e., 3100307471361 + 7710840385600 = 1760769^2 + 2776840^2 .

It is not a de Polignac number, because 10811147856961 - 2¹⁵ = 10811147824193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10811147856896 and 10811147856905.

It is not an unprimeable number, because it can be changed into a prime (10811147856911) 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, 1713060996 + ... + 1713067306.

Almost surely, 2^{10811147856961} is an apocalyptic number.

10811147856961 is the 3288031-st square number.

10811147856961 is the 1644016-th centered octagonal number.

It is an amenable number.

10811147856961 is a deficient number, since it is larger than the sum of its proper divisors (22507222818).

10811147856961 is an frugal number, since it uses more digits than its factorization.

10811147856961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 58.

The spelling of 10811147856961 in words is "ten trillion, eight hundred eleven billion, one hundred forty-seven million, eight hundred fifty-six thousand, nine hundred sixty-one".