344313300341441 has 16 divisors (see below), whose sum is σ = 354253713566544. Its totient is φ = 334406411956224.

The previous prime is 344313300341429. The next prime is 344313300341627. The reversal of 344313300341441 is 144143003313443.

It can be written as a sum of positive squares in 8 ways, for example, as 2292513951025 + 342020786390416 = 1514105^2 + 18493804^2 .

It is not a de Polignac number, because 344313300341441 - 2⁴² = 339915253830337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344313300341395 and 344313300341404.

It is not an unprimeable number, because it can be changed into a prime (344313300341141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203053385 + ... + 204742041.

It is an arithmetic number, because the mean of its divisors is an integer number (22140857097909).

Almost surely, 2^{344313300341441} is an apocalyptic number.

It is an amenable number.

344313300341441 is a deficient number, since it is larger than the sum of its proper divisors (9940413225103).

344313300341441 is a wasteful number, since it uses less digits than its factorization.

344313300341441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698580.

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 344313300341441 its reverse (144143003313443), we get a palindrome (488456303654884).

The spelling of 344313300341441 in words is "three hundred forty-four trillion, three hundred thirteen billion, three hundred million, three hundred forty-one thousand, four hundred forty-one".