14281868906496 has 273 divisors, whose sum is σ = 42840376538791. Its totient is φ = 4760622968832.

The previous prime is 14281868906491. The next prime is 14281868906497. The reversal of 14281868906496 is 69460986818241.

The square root of 14281868906496 is 3779136.

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

14281868906496 is a `hidden beast` number, since 1 + 42 + 8 + 1 + 8 + 6 + 8 + 90 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (14281868906491) 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 20 ways as a sum of consecutive naturals, for example, 4760622968831 + 4760622968832 + 4760622968833.

Almost surely, 2^{14281868906496} is an apocalyptic number.

14281868906496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14281868906496 is the 3779136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14281868906496

14281868906496 is an abundant number, since it is smaller than the sum of its proper divisors (28558507632295).

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

14281868906496 is an frugal number, since it uses more digits than its factorization.

14281868906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

14281868906496 divided by its sum of digits (72) gives a 9-th power (198359290368 = 18⁹).

The spelling of 14281868906496 in words is "fourteen trillion, two hundred eighty-one billion, eight hundred sixty-eight million, nine hundred six thousand, four hundred ninety-six".