314364463413 has 128 divisors (see below), whose sum is σ = 581053906944. Its totient is φ = 145892275200.

The previous prime is 314364463409. The next prime is 314364463421.

314364463413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314364463413 - 2² = 314364463409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314364463423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21214795 + ... + 21229607.

It is an arithmetic number, because the mean of its divisors is an integer number (4539483648).

Almost surely, 2^314364463413 is an apocalyptic number.

314364463413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314364463413 is a deficient number, since it is larger than the sum of its proper divisors (266689443531).

314364463413 is a wasteful number, since it uses less digits than its factorization.

314364463413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15075.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 314364 and 463413, that added together give a palindrome (777777).

The spelling of 314364463413 in words is "three hundred fourteen billion, three hundred sixty-four million, four hundred sixty-three thousand, four hundred thirteen".