344665353116241 has 12 divisors (see below), whose sum is σ = 497850465129732. Its totient is φ = 229776666402816.

The previous prime is 344665353116237. The next prime is 344665353116251. The reversal of 344665353116241 is 142611353566443.

344665353116241 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 6 + 5 + 3 + 5 + 3 + 1 + 1 + 624 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203429717368641 + 141235635747600 = 14262879^2 + 11884260^2 .

It is not a de Polignac number, because 344665353116241 - 2² = 344665353116237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344665353116251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10135216 + ... + 28143441.

It is an arithmetic number, because the mean of its divisors is an integer number (41487538760811).

Almost surely, 2^{344665353116241} is an apocalyptic number.

It is an amenable number.

344665353116241 is a deficient number, since it is larger than the sum of its proper divisors (153185112013491).

344665353116241 is a wasteful number, since it uses less digits than its factorization.

344665353116241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39279120 (or 39279117 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 344665353116241 in words is "three hundred forty-four trillion, six hundred sixty-five billion, three hundred fifty-three million, one hundred sixteen thousand, two hundred forty-one".