344304002044001 has 2 divisors, whose sum is σ = 344304002044002. Its totient is φ = 344304002044000.

The previous prime is 344304002043973. The next prime is 344304002044003. The reversal of 344304002044001 is 100440200403443.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204932967630400 + 139371034413601 = 14315480^2 + 11805551^2 .

It is an emirp because it is prime and its reverse (100440200403443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-344304002044001 is a prime.

Together with 344304002044003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (344304002044003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172152001022000 + 172152001022001.

It is an arithmetic number, because the mean of its divisors is an integer number (172152001022001).

Almost surely, 2^{344304002044001} is an apocalyptic number.

It is an amenable number.

344304002044001 is a deficient number, since it is larger than the sum of its proper divisors (1).

344304002044001 is an equidigital number, since it uses as much as digits as its factorization.

344304002044001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 344304002044001 its reverse (100440200403443), we get a palindrome (444744202447444).

The spelling of 344304002044001 in words is "three hundred forty-four trillion, three hundred four billion, two million, forty-four thousand, one".