314144441413 has 48 divisors (see below), whose sum is σ = 371419255872. Its totient is φ = 264549542400.

The previous prime is 314144441393. The next prime is 314144441417.

314144441413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314144441413 - 2²⁹ = 313607570501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314144441417) 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, 34550998 + ... + 34560088.

It is an arithmetic number, because the mean of its divisors is an integer number (7737901164).

Almost surely, 2^314144441413 is an apocalyptic number.

It is an amenable number.

314144441413 is a deficient number, since it is larger than the sum of its proper divisors (57274814459).

314144441413 is a wasteful number, since it uses less digits than its factorization.

314144441413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9383 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 314144 and 441413, that added together give a palindrome (755557).

The spelling of 314144441413 in words is "three hundred fourteen billion, one hundred forty-four million, four hundred forty-one thousand, four hundred thirteen".