344201442211201 has 8 divisors (see below), whose sum is σ = 344267593669800. Its totient is φ = 344135295548928.

The previous prime is 344201442211199. The next prime is 344201442211213. The reversal of 344201442211201 is 102112244102443.

It can be written as a sum of positive squares in 4 ways, for example, as 230617025766400 + 113584416444801 = 15186080^2 + 10657599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344201442211201 - 2¹ = 344201442211199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344201442211261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144028095 + ... + 146398411.

It is an arithmetic number, because the mean of its divisors is an integer number (43033449208725).

Almost surely, 2^{344201442211201} is an apocalyptic number.

It is an amenable number.

344201442211201 is a deficient number, since it is larger than the sum of its proper divisors (66151458599).

344201442211201 is a wasteful number, since it uses less digits than its factorization.

344201442211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398163.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 344201442211201 its reverse (102112244102443), we get a palindrome (446313686313644).

The spelling of 344201442211201 in words is "three hundred forty-four trillion, two hundred one billion, four hundred forty-two million, two hundred eleven thousand, two hundred one".