354302324289 has 15 divisors (see below), whose sum is σ = 529274437747. Its totient is φ = 236197978128.

The previous prime is 354302324267. The next prime is 354302324293. The reversal of 354302324289 is 982423203453.

The square root of 354302324289 is 595233.

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

354302324289 is a `hidden beast` number, since 3 + 5 + 43 + 0 + 2 + 324 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 290289276225 + 64013048064 = 538785^2 + 253008^2 .

It is not a de Polignac number, because 354302324289 - 2²⁵ = 354268769857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354302324219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5324029 + ... + 5390165.

Almost surely, 2^354302324289 is an apocalyptic number.

354302324289 is the 595233-rd square number.

354302324289 is the 297617-th centered octagonal number.

It is an amenable number.

354302324289 is a deficient number, since it is larger than the sum of its proper divisors (174972113458).

354302324289 is an frugal number, since it uses more digits than its factorization.

354302324289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132286 (or 66140 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 354302324289 in words is "three hundred fifty-four billion, three hundred two million, three hundred twenty-four thousand, two hundred eighty-nine".