229290854376609 has 27 divisors (see below), whose sum is σ = 342228444700467. Its totient is φ = 147928674927600.

The previous prime is 229290854376601. The next prime is 229290854376667. The reversal of 229290854376609 is 906673458092922.

It is a happy number.

The square root of 229290854376609 is 15142353.

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

229290854376609 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 9 + 0 + 8 + 5 + 4 + 3 + 7 + 6 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106524011176209 + 122766843200400 = 10321047^2 + 11080020^2 .

It is not a de Polignac number, because 229290854376609 - 2³ = 229290854376601 is a prime.

It is a super-2 number, since 2×229290854376609² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (229290854376601) 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, 1408157419 + ... + 1408320239.

Almost surely, 2^{229290854376609} is an apocalyptic number.

229290854376609 is the 15142353-rd square number.

229290854376609 is the 7571177-th centered octagonal number.

It is an amenable number.

229290854376609 is a deficient number, since it is larger than the sum of its proper divisors (112937590323858).

229290854376609 is an frugal number, since it uses more digits than its factorization.

229290854376609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325710 (or 162855 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 229290854376609 in words is "two hundred twenty-nine trillion, two hundred ninety billion, eight hundred fifty-four million, three hundred seventy-six thousand, six hundred nine".