13224080016 has 225 divisors, whose sum is σ = 44247222591. Its totient is φ = 3676192128.

The previous prime is 13224079987. The next prime is 13224080057. The reversal of 13224080016 is 61008042231.

The square root of 13224080016 is 114996.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8245366416 + 4978713600 = 90804^2 + 70560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 357407550 + ... + 357407586.

Almost surely, 2^13224080016 is an apocalyptic number.

13224080016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13224080016 is the 114996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224080016

13224080016 is an abundant number, since it is smaller than the sum of its proper divisors (31023142575).

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

13224080016 is an frugal number, since it uses more digits than its factorization.

13224080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 13224080016 by its product of nonzero digits (2304), we get a square (30468280356864 = 5519808²).

The spelling of 13224080016 in words is "thirteen billion, two hundred twenty-four million, eighty thousand, sixteen".