8741316304993 has 2 divisors, whose sum is σ = 8741316304994. Its totient is φ = 8741316304992.

The previous prime is 8741316304891. The next prime is 8741316305011. The reversal of 8741316304993 is 3994036131478.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7874719153249 + 866597151744 = 2806193^2 + 930912^2 .

It is a cyclic number.

It is not a de Polignac number, because 8741316304993 - 2²⁹ = 8740779434081 is a prime.

It is a super-2 number, since 2×8741316304993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8741316304793) 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, 4370658152496 + 4370658152497.

It is an arithmetic number, because the mean of its divisors is an integer number (4370658152497).

Almost surely, 2^{8741316304993} is an apocalyptic number.

It is an amenable number.

8741316304993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8741316304993 is an equidigital number, since it uses as much as digits as its factorization.

8741316304993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 8741316304993 in words is "eight trillion, seven hundred forty-one billion, three hundred sixteen million, three hundred four thousand, nine hundred ninety-three".