10811828961 has 12 divisors (see below), whose sum is σ = 15619191588. Its totient is φ = 7206914304.

The previous prime is 10811828947. The next prime is 10811828971. The reversal of 10811828961 is 16982811801.

10811828961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6979599936 + 3832229025 = 83544^2 + 61905^2 .

It is not a de Polignac number, because 10811828961 - 2¹⁴ = 10811812577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10811828921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6940 + ... + 147213.

It is an arithmetic number, because the mean of its divisors is an integer number (1301599299).

Almost surely, 2^10811828961 is an apocalyptic number.

It is an amenable number.

10811828961 is a deficient number, since it is larger than the sum of its proper divisors (4807362627).

10811828961 is a wasteful number, since it uses less digits than its factorization.

10811828961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161952 (or 161949 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 10811828961 in words is "ten billion, eight hundred eleven million, eight hundred twenty-eight thousand, nine hundred sixty-one".