8046635727041 has 2 divisors, whose sum is σ = 8046635727042. Its totient is φ = 8046635727040.

The previous prime is 8046635727023. The next prime is 8046635727059. The reversal of 8046635727041 is 1407275366408.

It is a balanced prime because it is at equal distance from previous prime (8046635727023) and next prime (8046635727059).

It can be written as a sum of positive squares in only one way, i.e., 4118886486016 + 3927749241025 = 2029504^2 + 1981855^2 .

It is a cyclic number.

It is not a de Polignac number, because 8046635727041 - 2³⁰ = 8045561985217 is a prime.

It is not a weakly prime, because it can be changed into another prime (8046635747041) 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, 4023317863520 + 4023317863521.

It is an arithmetic number, because the mean of its divisors is an integer number (4023317863521).

Almost surely, 2^{8046635727041} is an apocalyptic number.

It is an amenable number.

8046635727041 is a deficient number, since it is larger than the sum of its proper divisors (1).

8046635727041 is an equidigital number, since it uses as much as digits as its factorization.

8046635727041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 8046635727041 in words is "eight trillion, forty-six billion, six hundred thirty-five million, seven hundred twenty-seven thousand, forty-one".