344549042289 has 81 divisors (see below), whose sum is σ = 534519051339. Its totient is φ = 213849646560.

The previous prime is 344549042269. The next prime is 344549042293. The reversal of 344549042289 is 982240945443.

The square root of 344549042289 is 586983.

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

344549042289 is a `hidden beast` number, since 3 + 4 + 4 + 54 + 90 + 422 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3796654689 + 340752387600 = 61617^2 + 583740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-344549042289 is a prime.

It is a super-2 number, since 2×344549042289² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344549042219) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1903585779 + ... + 1903585959.

Almost surely, 2^344549042289 is an apocalyptic number.

344549042289 is the 586983-rd square number.

344549042289 is the 293492-nd centered octagonal number.

It is an amenable number.

344549042289 is a deficient number, since it is larger than the sum of its proper divisors (189970009050).

344549042289 is an equidigital number, since it uses as much as digits as its factorization.

344549042289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 344549042289 in words is "three hundred forty-four billion, five hundred forty-nine million, forty-two thousand, two hundred eighty-nine".