14122744384576 has 21 divisors (see below), whose sum is σ = 28024880546901. Its totient is φ = 7061357160192.

The previous prime is 14122744384571. The next prime is 14122744384579. The reversal of 14122744384576 is 67548344722141.

The square root of 14122744384576 is 3758024.

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., 493534350400 + 13629210034176 = 702520^2 + 3691776^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14122744384576.

It is not an unprimeable number, because it can be changed into a prime (14122744384571) 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 2 ways as a sum of consecutive naturals, for example, 29829316 + ... + 30299068.

It is an arithmetic number, because the mean of its divisors is an integer number (1334518121281).

Almost surely, 2^{14122744384576} is an apocalyptic number.

14122744384576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14122744384576 is the 3758024-th square number.

It is an amenable number.

14122744384576 is a deficient number, since it is larger than the sum of its proper divisors (13902136162325).

14122744384576 is an frugal number, since it uses more digits than its factorization.

14122744384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939518 (or 469755 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 58.

The spelling of 14122744384576 in words is "fourteen trillion, one hundred twenty-two billion, seven hundred forty-four million, three hundred eighty-four thousand, five hundred seventy-six".