413714848417314 has 16 divisors (see below), whose sum is σ = 830649267642528. Its totient is φ = 137368354337792.

The previous prime is 413714848417307. The next prime is 413714848417393.

413714848417314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413714848417314² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134148781992 + ... + 134148785075.

It is an arithmetic number, because the mean of its divisors is an integer number (51915579227658).

Almost surely, 2^{413714848417314} is an apocalyptic number.

413714848417314 is an abundant number, since it is smaller than the sum of its proper divisors (416934419225214).

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

413714848417314 is a wasteful number, since it uses less digits than its factorization.

413714848417314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268297567329.

The product of its digits is 28901376, while the sum is 60.

The spelling of 413714848417314 in words is "four hundred thirteen trillion, seven hundred fourteen billion, eight hundred forty-eight million, four hundred seventeen thousand, three hundred fourteen".