413564465314 has 64 divisors (see below), whose sum is σ = 876750658560. Its totient is φ = 140906329920.

The previous prime is 413564465287. The next prime is 413564465317.

413564465314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413564465317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5398164 + ... + 5474239.

It is an arithmetic number, because the mean of its divisors is an integer number (13699229040).

Almost surely, 2^413564465314 is an apocalyptic number.

413564465314 is an abundant number, since it is smaller than the sum of its proper divisors (463186193246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413564465314 is a wasteful number, since it uses less digits than its factorization.

413564465314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872455.

The product of its digits is 2073600, while the sum is 46.

It can be divided in two parts, 413564 and 465314, that added together give a palindrome (878878).

The spelling of 413564465314 in words is "four hundred thirteen billion, five hundred sixty-four million, four hundred sixty-five thousand, three hundred fourteen".