314441144413 has 16 divisors (see below), whose sum is σ = 354249008640. Its totient is φ = 276511838400.

The previous prime is 314441144411. The next prime is 314441144441.

314441144413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314441144413 - 2¹ = 314441144411 is a prime.

It is a super-2 number, since 2×314441144413² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314441144411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570531 + ... + 976927.

It is an arithmetic number, because the mean of its divisors is an integer number (22140563040).

Almost surely, 2^314441144413 is an apocalyptic number.

It is an amenable number.

314441144413 is a deficient number, since it is larger than the sum of its proper divisors (39807864227).

314441144413 is a wasteful number, since it uses less digits than its factorization.

314441144413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408708.

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

It can be divided in two parts, 314441 and 144413, that added together give a palindrome (458854).

The spelling of 314441144413 in words is "three hundred fourteen billion, four hundred forty-one million, one hundred forty-four thousand, four hundred thirteen".