14284960407025 has 81 divisors (see below), whose sum is σ = 22651137361377. Its totient is φ = 8904003292800.

The previous prime is 14284960407017. The next prime is 14284960407031. The reversal of 14284960407025 is 52070406948241.

The square root of 14284960407025 is 3779545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4065864927201 + 10219095479824 = 2016399^2 + 3196732^2 .

It is not a de Polignac number, because 14284960407025 - 2³ = 14284960407017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1455119917 + ... + 1455129733.

Almost surely, 2^{14284960407025} is an apocalyptic number.

14284960407025 is the 3779545-th square number.

14284960407025 is the 1889773-rd centered octagonal number.

It is an amenable number.

14284960407025 is a deficient number, since it is larger than the sum of its proper divisors (8366176954352).

14284960407025 is an frugal number, since it uses more digits than its factorization.

14284960407025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 14284960407025 in words is "fourteen trillion, two hundred eighty-four billion, nine hundred sixty million, four hundred seven thousand, twenty-five".