714438444834417 has 32 divisors (see below), whose sum is σ = 973530687006720. Its totient is φ = 465931065600000.

The previous prime is 714438444834397. The next prime is 714438444834467.

714438444834417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 714438444834417 - 2¹¹ = 714438444832369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (714438444834467) 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, 14698417 + ... + 40557617.

It is an arithmetic number, because the mean of its divisors is an integer number (30422833968960).

Almost surely, 2^{714438444834417} is an apocalyptic number.

It is an amenable number.

714438444834417 is a deficient number, since it is larger than the sum of its proper divisors (259092242172303).

714438444834417 is a wasteful number, since it uses less digits than its factorization.

714438444834417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25860285.

The product of its digits is 462422016, while the sum is 66.

The spelling of 714438444834417 in words is "seven hundred fourteen trillion, four hundred thirty-eight billion, four hundred forty-four million, eight hundred thirty-four thousand, four hundred seventeen".