14085789634816 has 81 divisors (see below), whose sum is σ = 28355042034039. Its totient is φ = 6983655823872.

The previous prime is 14085789634793. The next prime is 14085789634867. The reversal of 14085789634816 is 61843698758041.

The square root of 14085789634816 is 3753104.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7626306405 + ... + 7626308251.

Almost surely, 2^{14085789634816} is an apocalyptic number.

14085789634816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14085789634816 is the 3753104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14085789634816

14085789634816 is an abundant number, since it is smaller than the sum of its proper divisors (14269252399223).

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

14085789634816 is an frugal number, since it uses more digits than its factorization.

14085789634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 14085789634816 in words is "fourteen trillion, eighty-five billion, seven hundred eighty-nine million, six hundred thirty-four thousand, eight hundred sixteen".