234431406189409 has 27 divisors (see below), whose sum is σ = 279029746484307. Its totient is φ = 196723818205200.

The previous prime is 234431406189377. The next prime is 234431406189481. The reversal of 234431406189409 is 904981604134432.

The square root of 234431406189409 is 15311153.

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., 34679202099025 + 199752204090384 = 5888905^2 + 14133372^2 .

It is not a de Polignac number, because 234431406189409 - 2⁵ = 234431406189377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234431406180409) 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 26 ways as a sum of consecutive naturals, for example, 2189441344 + ... + 2189548414.

Almost surely, 2^{234431406189409} is an apocalyptic number.

234431406189409 is the 15311153-rd square number.

234431406189409 is the 7655577-th centered octagonal number.

It is an amenable number.

234431406189409 is a deficient number, since it is larger than the sum of its proper divisors (44598340294898).

234431406189409 is an frugal number, since it uses more digits than its factorization.

234431406189409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214190 (or 107095 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 234431406189409 in words is "two hundred thirty-four trillion, four hundred thirty-one billion, four hundred six million, one hundred eighty-nine thousand, four hundred nine".