14128013625625 has 45 divisors (see below), whose sum is σ = 17754622524793. Its totient is φ = 11238587750000.

The previous prime is 14128013625601. The next prime is 14128013625757. The reversal of 14128013625625 is 52652631082141.

It is a happy number.

The square root of 14128013625625 is 3758725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1107636268249 + 13020377357376 = 1052443^2 + 3608376^2 .

It is a de Polignac number, because none of the positive numbers 2^k-14128013625625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23585999076 + ... + 23585999674.

Almost surely, 2^{14128013625625} is an apocalyptic number.

14128013625625 is the 3758725-th square number.

14128013625625 is the 1879363-rd centered octagonal number.

It is an amenable number.

14128013625625 is a deficient number, since it is larger than the sum of its proper divisors (3626608899168).

14128013625625 is an frugal number, since it uses more digits than its factorization.

14128013625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 14128013625625 in words is "fourteen trillion, one hundred twenty-eight billion, thirteen million, six hundred twenty-five thousand, six hundred twenty-five".