334340005346561 has 48 divisors (see below), whose sum is σ = 358904958310080. Its totient is φ = 311378256000000.

The previous prime is 334340005346533. The next prime is 334340005346587. The reversal of 334340005346561 is 165643500043433.

It is not a de Polignac number, because 334340005346561 - 2⁶ = 334340005346497 is a prime.

It is a super-2 number, since 2×334340005346561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334340005346761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13799154395 + ... + 13799178623.

It is an arithmetic number, because the mean of its divisors is an integer number (7477186631460).

Almost surely, 2^{334340005346561} is an apocalyptic number.

It is an amenable number.

334340005346561 is a deficient number, since it is larger than the sum of its proper divisors (24564952963519).

334340005346561 is a wasteful number, since it uses less digits than its factorization.

334340005346561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746 (or 25729 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 47.

Adding to 334340005346561 its reverse (165643500043433), we get a palindrome (499983505389994).

The spelling of 334340005346561 in words is "three hundred thirty-four trillion, three hundred forty billion, five million, three hundred forty-six thousand, five hundred sixty-one".