10985761349 has 2 divisors, whose sum is σ = 10985761350. Its totient is φ = 10985761348.

The previous prime is 10985761333. The next prime is 10985761357. The reversal of 10985761349 is 94316758901.

10985761349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10384629025 + 601132324 = 101905^2 + 24518^2 .

It is a cyclic number.

It is not a de Polignac number, because 10985761349 - 2⁴ = 10985761333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10985761349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10985761379) 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 as a sum of consecutive naturals, namely, 5492880674 + 5492880675.

It is an arithmetic number, because the mean of its divisors is an integer number (5492880675).

Almost surely, 2^10985761349 is an apocalyptic number.

It is an amenable number.

10985761349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10985761349 is an equidigital number, since it uses as much as digits as its factorization.

10985761349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 10985761349 in words is "ten billion, nine hundred eighty-five million, seven hundred sixty-one thousand, three hundred forty-nine".