395434422694089 has 243 divisors, whose sum is σ = 632227001145831. Its totient is φ = 238130053096320.

The previous prime is 395434422694043. The next prime is 395434422694099. The reversal of 395434422694089 is 980496224434593.

The square root of 395434422694089 is 19885533.

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

395434422694089 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 3 + 442 + 2 + 69 + 40 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19054246423689 + 376380176270400 = 4365117^2 + 19400520^2 .

It is not a de Polignac number, because 395434422694089 - 2²⁷ = 395434288476361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (395434422694099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3113656871544 + ... + 3113656871670.

Almost surely, 2^{395434422694089} is an apocalyptic number.

395434422694089 is the 19885533-rd square number.

395434422694089 is the 9942767-th centered octagonal number.

It is an amenable number.

395434422694089 is a deficient number, since it is larger than the sum of its proper divisors (236792578451742).

395434422694089 is an equidigital number, since it uses as much as digits as its factorization.

395434422694089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 395434422694089 in words is "three hundred ninety-five trillion, four hundred thirty-four billion, four hundred twenty-two million, six hundred ninety-four thousand, eighty-nine".