14284053330625 has 135 divisors (see below), whose sum is σ = 20067505857399. Its totient is φ = 10159094400000.

The previous prime is 14284053330601. The next prime is 14284053330643. The reversal of 14284053330625 is 52603335048241.

The square root of 14284053330625 is 3779425.

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

It can be written as a sum of positive squares in 67 ways, for example, as 7648194898369 + 6635858432256 = 2765537^2 + 2576016^2 .

It is not a de Polignac number, because 14284053330625 - 2²⁵ = 14284019776193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35621080425 + ... + 35621080825.

Almost surely, 2^{14284053330625} is an apocalyptic number.

14284053330625 is the 3779425-th square number.

14284053330625 is the 1889713-rd centered octagonal number.

It is an amenable number.

14284053330625 is a deficient number, since it is larger than the sum of its proper divisors (5783452526774).

14284053330625 is an frugal number, since it uses more digits than its factorization.

14284053330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

Adding to 14284053330625 its reverse (52603335048241), we get a palindrome (66887388378866).

The spelling of 14284053330625 in words is "fourteen trillion, two hundred eighty-four billion, fifty-three million, three hundred thirty thousand, six hundred twenty-five".