413163361314 has 144 divisors (see below), whose sum is σ = 1020741845760. Its totient is φ = 120599107200.

The previous prime is 413163361301. The next prime is 413163361319.

413163361314 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 6 + 33 + 613 + 1 + 4 = 666.

413163361314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413163361319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7025259 + ... + 7083825.

It is an arithmetic number, because the mean of its divisors is an integer number (7088485040).

Almost surely, 2^413163361314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413163361314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510370922880).

413163361314 is an abundant number, since it is smaller than the sum of its proper divisors (607578484446).

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

413163361314 is a wasteful number, since it uses less digits than its factorization.

413163361314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58717 (or 58703 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 413163 and 361314, that added together give a palindrome (774477).

The spelling of 413163361314 in words is "four hundred thirteen billion, one hundred sixty-three million, three hundred sixty-one thousand, three hundred fourteen".