14456314205316 has 81 divisors (see below), whose sum is σ = 37414474001541. Its totient is φ = 4706387570304.

The previous prime is 14456314205279. The next prime is 14456314205317. The reversal of 14456314205316 is 61350241365441.

The square root of 14456314205316 is 3802146.

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

14456314205316 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 631 + 4 + 2 + 0 + 5 + 3 + 1 + 6 = 666.

14456314205316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12284534304900 + 2171779900416 = 3504930^2 + 1473696^2 .

It is not an unprimeable number, because it can be changed into a prime (14456314205317) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 980946300 + ... + 980961036.

Almost surely, 2^{14456314205316} is an apocalyptic number.

14456314205316 is the 3802146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14456314205316

14456314205316 is an abundant number, since it is smaller than the sum of its proper divisors (22958159796225).

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

14456314205316 is an frugal number, since it uses more digits than its factorization.

14456314205316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29570 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 14456314205316 in words is "fourteen trillion, four hundred fifty-six billion, three hundred fourteen million, two hundred five thousand, three hundred sixteen".