8904001608193 has 2 divisors, whose sum is σ = 8904001608194. Its totient is φ = 8904001608192.

The previous prime is 8904001608113. The next prime is 8904001608223. The reversal of 8904001608193 is 3918061004098.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7991657610304 + 912343997889 = 2826952^2 + 955167^2 .

It is a cyclic number.

It is not a de Polignac number, because 8904001608193 - 2²¹ = 8903999511041 is a prime.

It is not a weakly prime, because it can be changed into another prime (8904001608113) 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, 4452000804096 + 4452000804097.

It is an arithmetic number, because the mean of its divisors is an integer number (4452000804097).

Almost surely, 2^{8904001608193} is an apocalyptic number.

It is an amenable number.

8904001608193 is a deficient number, since it is larger than the sum of its proper divisors (1).

8904001608193 is an equidigital number, since it uses as much as digits as its factorization.

8904001608193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 8904001608193 in words is "eight trillion, nine hundred four billion, one million, six hundred eight thousand, one hundred ninety-three".