334444100014441 has 8 divisors (see below), whose sum is σ = 335189699997768. Its totient is φ = 333698587152000.

The previous prime is 334444100014357. The next prime is 334444100014459. The reversal of 334444100014441 is 144410001444433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43433424883216 + 291010675131225 = 6590404^2 + 17059035^2 .

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 334444100014441 - 2⁷ = 334444100014313 is a prime.

It is a super-2 number, since 2×334444100014441² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 334444100014441.

It is not an unprimeable number, because it can be changed into a prime (334444100044441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14090940 + ... + 29452381.

It is an arithmetic number, because the mean of its divisors is an integer number (41898712499721).

Almost surely, 2^{334444100014441} is an apocalyptic number.

It is an amenable number.

334444100014441 is a deficient number, since it is larger than the sum of its proper divisors (745599983327).

334444100014441 is a wasteful number, since it uses less digits than its factorization.

334444100014441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43560443.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 334444100014441 its reverse (144410001444433), we get a palindrome (478854101458874).

The spelling of 334444100014441 in words is "three hundred thirty-four trillion, four hundred forty-four billion, one hundred million, fourteen thousand, four hundred forty-one".