413314646413314 has 64 divisors (see below), whose sum is σ = 909053076528000. Its totient is φ = 124771990694400.

The previous prime is 413314646413271. The next prime is 413314646413321.

It is a happy number.

413314646413314 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618574779 + ... + 619242590.

It is an arithmetic number, because the mean of its divisors is an integer number (14203954320750).

Almost surely, 2^{413314646413314} is an apocalyptic number.

413314646413314 is an abundant number, since it is smaller than the sum of its proper divisors (495738430114686).

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

413314646413314 is a wasteful number, since it uses less digits than its factorization.

413314646413314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237817523.

The product of its digits is 2985984, while the sum is 48.

The spelling of 413314646413314 in words is "four hundred thirteen trillion, three hundred fourteen billion, six hundred forty-six million, four hundred thirteen thousand, three hundred fourteen".