14193386496 has 297 divisors, whose sum is σ = 44140224531. Its totient is φ = 4391829504.

The previous prime is 14193386491. The next prime is 14193386497. The reversal of 14193386496 is 69468339141.

The square root of 14193386496 is 119136.

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

14193386496 is a `hidden beast` number, since 1 + 41 + 9 + 33 + 86 + 496 = 666.

14193386496 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 4 ways, for example, as 1792336896 + 12401049600 = 42336^2 + 111360^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14193386491) 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, 194429916 + ... + 194429988.

Almost surely, 2^14193386496 is an apocalyptic number.

14193386496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14193386496 is the 119136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14193386496

14193386496 is an abundant number, since it is smaller than the sum of its proper divisors (29946838035).

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

14193386496 is an equidigital number, since it uses as much as digits as its factorization.

14193386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 95 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

It can be divided in two parts, 14193 and 386496, that added together give a square (400689 = 633²).

The spelling of 14193386496 in words is "fourteen billion, one hundred ninety-three million, three hundred eighty-six thousand, four hundred ninety-six".