8418800901289 has 9 divisors (see below), whose sum is σ = 8473223867301. Its totient is φ = 8364725328960.

The previous prime is 8418800901223. The next prime is 8418800901311. The reversal of 8418800901289 is 9821090088148.

It is a happy number.

The square root of 8418800901289 is 2901517.

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

It can be written as a sum of positive squares in 4 ways, for example, as 916088265625 + 7502712635664 = 957125^2 + 2739108^2 .

It is not a de Polignac number, because 8418800901289 - 2¹⁵ = 8418800868521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8418800901989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 455528929 + ... + 455547409.

It is an arithmetic number, because the mean of its divisors is an integer number (941469318589).

Almost surely, 2^{8418800901289} is an apocalyptic number.

8418800901289 is the 2901517-th square number.

8418800901289 is the 1450759-th centered octagonal number.

It is an amenable number.

8418800901289 is a deficient number, since it is larger than the sum of its proper divisors (54422966012).

8418800901289 is an frugal number, since it uses more digits than its factorization.

8418800901289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37276 (or 18638 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 58.

The spelling of 8418800901289 in words is "eight trillion, four hundred eighteen billion, eight hundred million, nine hundred one thousand, two hundred eighty-nine".