14186552382016 has 189 divisors, whose sum is σ = 33119336527641. Its totient is φ = 6011701968384.

The previous prime is 14186552382011. The next prime is 14186552382019. The reversal of 14186552382016 is 61028325568141.

The square root of 14186552382016 is 3766504.

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., 3301198286400 + 10885354095616 = 1816920^2 + 3299296^2 .

It is not an unprimeable number, because it can be changed into a prime (14186552382011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21725194746 + ... + 21725195398.

Almost surely, 2^{14186552382016} is an apocalyptic number.

14186552382016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14186552382016 is the 3766504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14186552382016

14186552382016 is an abundant number, since it is smaller than the sum of its proper divisors (18932784145625).

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

14186552382016 is an frugal number, since it uses more digits than its factorization.

14186552382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 14186552382016 in words is "fourteen trillion, one hundred eighty-six billion, five hundred fifty-two million, three hundred eighty-two thousand, sixteen".