10824686461 has 2 divisors, whose sum is σ = 10824686462. Its totient is φ = 10824686460.

The previous prime is 10824686407. The next prime is 10824686501. The reversal of 10824686461 is 16468642801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9159638436 + 1665048025 = 95706^2 + 40805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10824686461 - 2²³ = 10816297853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10824686401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5412343230 + 5412343231.

It is an arithmetic number, because the mean of its divisors is an integer number (5412343231).

Almost surely, 2^10824686461 is an apocalyptic number.

It is an amenable number.

10824686461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824686461 is an equidigital number, since it uses as much as digits as its factorization.

10824686461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 10824686461 in words is "ten billion, eight hundred twenty-four million, six hundred eighty-six thousand, four hundred sixty-one".