418245568808809 has 27 divisors (see below), whose sum is σ = 493491610216791. Its totient is φ = 353438370114480.

The previous prime is 418245568808779. The next prime is 418245568808813. The reversal of 418245568808809 is 908808865542814.

The square root of 418245568808809 is 20451053.

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

It can be written as a sum of positive squares in only one way, i.e., 43699992696409 + 374545576112400 = 6610597^2 + 19353180^2 .

It is not a de Polignac number, because 418245568808809 - 2⁵ = 418245568808777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418245568808819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10164152767 + ... + 10164193915.

Almost surely, 2^{418245568808809} is an apocalyptic number.

418245568808809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

418245568808809 is the 20451053-rd square number.

418245568808809 is the 10225527-th centered octagonal number.

It is an amenable number.

418245568808809 is a deficient number, since it is larger than the sum of its proper divisors (75246041407982).

418245568808809 is an frugal number, since it uses more digits than its factorization.

418245568808809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82454 (or 41227 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 76.

The spelling of 418245568808809 in words is "four hundred eighteen trillion, two hundred forty-five billion, five hundred sixty-eight million, eight hundred eight thousand, eight hundred nine".