193985672849 has 2 divisors, whose sum is σ = 193985672850. Its totient is φ = 193985672848.

The previous prime is 193985672833. The next prime is 193985672863. The reversal of 193985672849 is 948276589391.

193985672849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168454426624 + 25531246225 = 410432^2 + 159785^2 .

It is an emirp because it is prime and its reverse (948276589391) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 193985672849 - 2⁴ = 193985672833 is a prime.

It is not a weakly prime, because it can be changed into another prime (193985672879) 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, 96992836424 + 96992836425.

It is an arithmetic number, because the mean of its divisors is an integer number (96992836425).

Almost surely, 2^193985672849 is an apocalyptic number.

It is an amenable number.

193985672849 is a deficient number, since it is larger than the sum of its proper divisors (1).

193985672849 is an equidigital number, since it uses as much as digits as its factorization.

193985672849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 235146240, while the sum is 71.

The spelling of 193985672849 in words is "one hundred ninety-three billion, nine hundred eighty-five million, six hundred seventy-two thousand, eight hundred forty-nine".