14289986953728 has 320 divisors, whose sum is σ = 45961972531200. Its totient is φ = 4367056343040.

The previous prime is 14289986953727. The next prime is 14289986953741. The reversal of 14289986953728 is 82735968998241.

14289986953728 is a `hidden beast` number, since 1 + 4 + 2 + 89 + 9 + 86 + 95 + 372 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (14289986953727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7264825 + ... + 9019847.

It is an arithmetic number, because the mean of its divisors is an integer number (143631164160).

Almost surely, 2^{14289986953728} is an apocalyptic number.

14289986953728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14289986953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980986265600).

14289986953728 is an abundant number, since it is smaller than the sum of its proper divisors (31671985577472).

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

14289986953728 is a wasteful number, since it uses less digits than its factorization.

14289986953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755100 (or 1755078 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 14289986953728 in words is "fourteen trillion, two hundred eighty-nine billion, nine hundred eighty-six million, nine hundred fifty-three thousand, seven hundred twenty-eight".