8414077894209 has 27 divisors (see below), whose sum is σ = 13160657754153. Its totient is φ = 5177824471872.

The previous prime is 8414077894181. The next prime is 8414077894283. The reversal of 8414077894209 is 9024987704148.

The square root of 8414077894209 is 2900703.

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

8414077894209 is a `hidden beast` number, since 8 + 414 + 0 + 7 + 7 + 8 + 9 + 4 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6379175644209 + 2034902250000 = 2525703^2 + 1426500^2 .

It is not a de Polignac number, because 8414077894209 - 2¹¹ = 8414077892161 is a prime.

It is a super-3 number, since 3×8414077894209³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8414077890209) 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, 113090229 + ... + 113164605.

Almost surely, 2^{8414077894209} is an apocalyptic number.

8414077894209 is the 2900703-rd square number.

8414077894209 is the 1450352-nd centered octagonal number.

It is an amenable number.

8414077894209 is a deficient number, since it is larger than the sum of its proper divisors (4746579859944).

8414077894209 is an frugal number, since it uses more digits than its factorization.

8414077894209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148786 (or 74393 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 8414077894209 in words is "eight trillion, four hundred fourteen billion, seventy-seven million, eight hundred ninety-four thousand, two hundred nine".