200768097349873 has 2 divisors, whose sum is σ = 200768097349874. Its totient is φ = 200768097349872.

The previous prime is 200768097349871. The next prime is 200768097349889. The reversal of 200768097349873 is 378943790867002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104545573911009 + 96222523438864 = 10224753^2 + 9809308^2 .

It is a cyclic number.

It is not a de Polignac number, because 200768097349873 - 2¹ = 200768097349871 is a prime.

It is a super-2 number, since 2×200768097349873² (a number of 29 digits) contains 22 as substring.

Together with 200768097349871, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 200768097349796 and 200768097349805.

It is not a weakly prime, because it can be changed into another prime (200768097349871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100384048674936 + 100384048674937.

It is an arithmetic number, because the mean of its divisors is an integer number (100384048674937).

Almost surely, 2^{200768097349873} is an apocalyptic number.

It is an amenable number.

200768097349873 is a deficient number, since it is larger than the sum of its proper divisors (1).

200768097349873 is an equidigital number, since it uses as much as digits as its factorization.

200768097349873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768144384, while the sum is 73.

The spelling of 200768097349873 in words is "two hundred trillion, seven hundred sixty-eight billion, ninety-seven million, three hundred forty-nine thousand, eight hundred seventy-three".