394965742369 has 81 divisors (see below), whose sum is σ = 478375973523. Its totient is φ = 325795219200.

The previous prime is 394965742273. The next prime is 394965742393. The reversal of 394965742369 is 963247569493.

The square root of 394965742369 is 628463.

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., 177354688225 + 217611054144 = 421135^2 + 466488^2 .

It is not a de Polignac number, because 394965742369 - 2²⁷ = 394831524641 is a prime.

It is a super-2 number, since 2×394965742369² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (394965742169) 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 80 ways as a sum of consecutive naturals, for example, 4071811729 + ... + 4071811825.

Almost surely, 2^394965742369 is an apocalyptic number.

394965742369 is the 628463-rd square number.

394965742369 is the 314232-nd centered octagonal number.

It is an amenable number.

394965742369 is a deficient number, since it is larger than the sum of its proper divisors (83410231154).

394965742369 is an equidigital number, since it uses as much as digits as its factorization.

394965742369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 67.

The spelling of 394965742369 in words is "three hundred ninety-four billion, nine hundred sixty-five million, seven hundred forty-two thousand, three hundred sixty-nine".