350444133214313 has 16 divisors (see below), whose sum is σ = 355000790826000. Its totient is φ = 345912063224832.

The previous prime is 350444133214297. The next prime is 350444133214319. The reversal of 350444133214313 is 313412331444053.

It can be written as a sum of positive squares in 8 ways, for example, as 12139182761689 + 338304950452624 = 3484133^2 + 18393068^2 .

It is a cyclic number.

It is not a de Polignac number, because 350444133214313 - 2⁴ = 350444133214297 is a prime.

It is a super-2 number, since 2×350444133214313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (350444133214319) 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 15 ways as a sum of consecutive naturals, for example, 392954453 + ... + 393845261.

It is an arithmetic number, because the mean of its divisors is an integer number (22187549426625).

Almost surely, 2^{350444133214313} is an apocalyptic number.

It is an amenable number.

350444133214313 is a deficient number, since it is larger than the sum of its proper divisors (4556657611687).

350444133214313 is a wasteful number, since it uses less digits than its factorization.

350444133214313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904604.

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 350444133214313 its reverse (313412331444053), we get a palindrome (663856464658366).

The spelling of 350444133214313 in words is "three hundred fifty trillion, four hundred forty-four billion, one hundred thirty-three million, two hundred fourteen thousand, three hundred thirteen".