334022001344401 has 8 divisors (see below), whose sum is σ = 334131003131240. Its totient is φ = 333913005476352.

The previous prime is 334022001344377. The next prime is 334022001344429. The reversal of 334022001344401 is 104443100220433.

It can be written as a sum of positive squares in 4 ways, for example, as 158990688940801 + 175031312403600 = 12609151^2 + 13229940^2 .

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 334022001344401 - 2²⁵ = 334021967789969 is a prime.

It is a super-2 number, since 2×334022001344401² (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 (334022001344431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112846531 + ... + 115768663.

It is an arithmetic number, because the mean of its divisors is an integer number (41766375391405).

Almost surely, 2^{334022001344401} is an apocalyptic number.

It is an amenable number.

334022001344401 is a deficient number, since it is larger than the sum of its proper divisors (109001786839).

334022001344401 is a wasteful number, since it uses less digits than its factorization.

334022001344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959395.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 334022001344401 its reverse (104443100220433), we get a palindrome (438465101564834).

The spelling of 334022001344401 in words is "three hundred thirty-four trillion, twenty-two billion, one million, three hundred forty-four thousand, four hundred one".