14281206016 has 243 divisors, whose sum is σ = 36829081737. Its totient is φ = 5506744320.

The previous prime is 14281206011. The next prime is 14281206061. The reversal of 14281206016 is 61060218241.

The square root of 14281206016 is 119504.

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

It can be written as a sum of positive squares in only one way, i.e., 6412806400 + 7868399616 = 80080^2 + 88704^2 .

It is not an unprimeable number, because it can be changed into a prime (14281206011) 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, 147228880 + ... + 147228976.

Almost surely, 2^14281206016 is an apocalyptic number.

14281206016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14281206016 is the 119504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14281206016

14281206016 is an abundant number, since it is smaller than the sum of its proper divisors (22547875721).

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

14281206016 is an frugal number, since it uses more digits than its factorization.

14281206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 14281206016 in words is "fourteen billion, two hundred eighty-one million, two hundred six thousand, sixteen".