10816461801 has 6 divisors (see below), whose sum is σ = 15623778170. Its totient is φ = 7210974528.

The previous prime is 10816461793. The next prime is 10816461809.

10816461801 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 646 + 1 + 8 + 0 + 1 = 666.

10816461801 is nontrivially palindromic in base 10.

10816461801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10816461793) and next prime (10816461809).

It can be written as a sum of positive squares in only one way, i.e., 5431837401 + 5384624400 = 73701^2 + 73380^2 .

It is not a de Polignac number, because 10816461801 - 2³ = 10816461793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10816461809) 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 5 ways as a sum of consecutive naturals, for example, 600914536 + ... + 600914553.

Almost surely, 2^10816461801 is an apocalyptic number.

It is an amenable number.

10816461801 is a deficient number, since it is larger than the sum of its proper divisors (4807316369).

10816461801 is a wasteful number, since it uses less digits than its factorization.

10816461801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201829095 (or 1201829092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10816461801 in words is "ten billion, eight hundred sixteen million, four hundred sixty-one thousand, eight hundred one".