10646611776349 has 2 divisors, whose sum is σ = 10646611776350. Its totient is φ = 10646611776348.

The previous prime is 10646611776271. The next prime is 10646611776379. The reversal of 10646611776349 is 94367711664601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10140084922500 + 506526853849 = 3184350^2 + 711707^2 .

It is a cyclic number.

It is not a de Polignac number, because 10646611776349 - 2³¹ = 10644464292701 is a prime.

It is a super-2 number, since 2×10646611776349² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10646611776379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5323305888174 + 5323305888175.

It is an arithmetic number, because the mean of its divisors is an integer number (5323305888175).

Almost surely, 2^{10646611776349} is an apocalyptic number.

It is an amenable number.

10646611776349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646611776349 is an equidigital number, since it uses as much as digits as its factorization.

10646611776349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 10646611776349 in words is "ten trillion, six hundred forty-six billion, six hundred eleven million, seven hundred seventy-six thousand, three hundred forty-nine".