41685085806857 has 2 divisors, whose sum is σ = 41685085806858. Its totient is φ = 41685085806856.

The previous prime is 41685085806839. The next prime is 41685085806907. The reversal of 41685085806857 is 75860858058614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23146644721216 + 18538441085641 = 4811096^2 + 4305629^2 .

It is a cyclic number.

It is not a de Polignac number, because 41685085806857 - 2¹⁰ = 41685085805833 is a prime.

It is not a weakly prime, because it can be changed into another prime (41685085806557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20842542903428 + 20842542903429.

It is an arithmetic number, because the mean of its divisors is an integer number (20842542903429).

Almost surely, 2^{41685085806857} is an apocalyptic number.

It is an amenable number.

41685085806857 is a deficient number, since it is larger than the sum of its proper divisors (1).

41685085806857 is an equidigital number, since it uses as much as digits as its factorization.

41685085806857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 516096000, while the sum is 71.

The spelling of 41685085806857 in words is "forty-one trillion, six hundred eighty-five billion, eighty-five million, eight hundred six thousand, eight hundred fifty-seven".