404856848417993 has 2 divisors, whose sum is σ = 404856848417994. Its totient is φ = 404856848417992.

The previous prime is 404856848417971. The next prime is 404856848418047. The reversal of 404856848417993 is 399714848658404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 392769454201744 + 12087394216249 = 19818412^2 + 3476693^2 .

It is a cyclic number.

It is not a de Polignac number, because 404856848417993 - 2⁸ = 404856848417737 is a prime.

It is a super-2 number, since 2×404856848417993² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (404856848497993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202428424208996 + 202428424208997.

It is an arithmetic number, because the mean of its divisors is an integer number (202428424208997).

Almost surely, 2^{404856848417993} is an apocalyptic number.

It is an amenable number.

404856848417993 is a deficient number, since it is larger than the sum of its proper divisors (1).

404856848417993 is an equidigital number, since it uses as much as digits as its factorization.

404856848417993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6688604160, while the sum is 80.

The spelling of 404856848417993 in words is "four hundred four trillion, eight hundred fifty-six billion, eight hundred forty-eight million, four hundred seventeen thousand, nine hundred ninety-three".