14120093584 has 45 divisors (see below), whose sum is σ = 27870749361. Its totient is φ = 6930048960.

The previous prime is 14120093569. The next prime is 14120093623. The reversal of 14120093584 is 48539002141.

14120093584 = 1³ + 2³ + ... + 487³.

The square root of 14120093584 is 118828.

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

14120093584 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 only one way, i.e., 459159184 + 13660934400 = 21428^2 + 116880^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 28993789 + ... + 28994275.

Almost surely, 2^14120093584 is an apocalyptic number.

14120093584 is the 118828-th square number.

It is an amenable number.

14120093584 is a deficient number, since it is larger than the sum of its proper divisors (13750655777).

14120093584 is an frugal number, since it uses more digits than its factorization.

14120093584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 14120093584 in words is "fourteen billion, one hundred twenty million, ninety-three thousand, five hundred eighty-four".