634353310369 has 9 divisors (see below), whose sum is σ = 640314087987. Its totient is φ = 628447537224.

The previous prime is 634353310301. The next prime is 634353310373. The reversal of 634353310369 is 963013353436.

The square root of 634353310369 is 796463.

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

634353310369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 442141213969 + 192212096400 = 664937^2 + 438420^2 .

It is not a de Polignac number, because 634353310369 - 2⁹ = 634353309857 is a prime.

It is a super-2 number, since 2×634353310369² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634353310379) 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, 86810814 + ... + 86818120.

Almost surely, 2^634353310369 is an apocalyptic number.

634353310369 is the 796463-rd square number.

634353310369 is the 398232-nd centered octagonal number.

It is an amenable number.

634353310369 is a deficient number, since it is larger than the sum of its proper divisors (5960777618).

634353310369 is an frugal number, since it uses more digits than its factorization.

634353310369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14832 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 46.

The spelling of 634353310369 in words is "six hundred thirty-four billion, three hundred fifty-three million, three hundred ten thousand, three hundred sixty-nine".