314442244413 has 48 divisors (see below), whose sum is σ = 517450167936. Its totient is φ = 182136366720.

The previous prime is 314442244399. The next prime is 314442244423.

314442244413 is a `hidden beast` number, since 3 + 14 + 4 + 4 + 224 + 4 + 413 = 666.

314442244413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314442244413 - 2⁶ = 314442244349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314442244423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2760831 + ... + 2872467.

It is an arithmetic number, because the mean of its divisors is an integer number (10780211832).

Almost surely, 2^314442244413 is an apocalyptic number.

314442244413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314442244413 is a deficient number, since it is larger than the sum of its proper divisors (203007923523).

314442244413 is a wasteful number, since it uses less digits than its factorization.

314442244413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112914 (or 112911 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 314442 and 244413, that added together give a palindrome (558855).

The spelling of 314442244413 in words is "three hundred fourteen billion, four hundred forty-two million, two hundred forty-four thousand, four hundred thirteen".