34436205661441 has 2 divisors, whose sum is σ = 34436205661442. Its totient is φ = 34436205661440.

The previous prime is 34436205661393. The next prime is 34436205661471. The reversal of 34436205661441 is 14416650263443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31286571033600 + 3149634627841 = 5593440^2 + 1774721^2 .

It is a cyclic number.

It is not a de Polignac number, because 34436205661441 - 2¹¹ = 34436205659393 is a prime.

It is a super-2 number, since 2×34436205661441² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34436205661471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17218102830720 + 17218102830721.

It is an arithmetic number, because the mean of its divisors is an integer number (17218102830721).

Almost surely, 2^{34436205661441} is an apocalyptic number.

It is an amenable number.

34436205661441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34436205661441 is an equidigital number, since it uses as much as digits as its factorization.

34436205661441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 34436205661441 in words is "thirty-four trillion, four hundred thirty-six billion, two hundred five million, six hundred sixty-one thousand, four hundred forty-one".