68563318408209 has 45 divisors (see below), whose sum is σ = 102816566534649. Its totient is φ = 45533353203000.

The previous prime is 68563318408183. The next prime is 68563318408219. The reversal of 68563318408209 is 90280481336586.

It is a happy number.

The square root of 68563318408209 is 8280297.

It is a perfect power (a square), and thus also a powerful number.

68563318408209 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 3 + 3 + 18 + 408 + 209 = 666.

It is not a de Polignac number, because 68563318408209 - 2⁵ = 68563318408177 is a prime.

It is a super-2 number, since 2×68563318408209² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68563318408219) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21089914834 + ... + 21089918084.

Almost surely, 2^{68563318408209} is an apocalyptic number.

68563318408209 is the 8280297-th square number.

68563318408209 is the 4140149-th centered octagonal number.

It is an amenable number.

68563318408209 is a deficient number, since it is larger than the sum of its proper divisors (34253248126440).

68563318408209 is an frugal number, since it uses more digits than its factorization.

68563318408209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 68563318408209 in words is "sixty-eight trillion, five hundred sixty-three billion, three hundred eighteen million, four hundred eight thousand, two hundred nine".