334221304001 has 8 divisors (see below), whose sum is σ = 360146314920. Its totient is φ = 308327104512.

The previous prime is 334221303991. The next prime is 334221304003. The reversal of 334221304001 is 100403122433.

It can be written as a sum of positive squares in 4 ways, for example, as 322238401 + 333899065600 = 17951^2 + 577840^2 .

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 334221304001 - 2¹⁸ = 334221041857 is a prime.

It is a super-2 number, since 2×334221304001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334221304003) 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, 7680320 + ... + 7723713.

It is an arithmetic number, because the mean of its divisors is an integer number (45018289365).

Almost surely, 2^334221304001 is an apocalyptic number.

It is an amenable number.

334221304001 is a deficient number, since it is larger than the sum of its proper divisors (25925010919).

334221304001 is a wasteful number, since it uses less digits than its factorization.

334221304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405715.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 334221304001 its reverse (100403122433), we get a palindrome (434624426434).

The spelling of 334221304001 in words is "three hundred thirty-four billion, two hundred twenty-one million, three hundred four thousand, one".