14895958401 has 45 divisors (see below), whose sum is σ = 22688594929. Its totient is φ = 9739510200.

The previous prime is 14895958393. The next prime is 14895958403. The reversal of 14895958401 is 10485959841.

The square root of 14895958401 is 122049.

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

14895958401 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 59 + 584 + 0 + 1 = 666.

It is not a de Polignac number, because 14895958401 - 2³ = 14895958393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14895958403) 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 44 ways as a sum of consecutive naturals, for example, 77989216 + ... + 77989406.

Almost surely, 2^14895958401 is an apocalyptic number.

14895958401 is the 122049-th square number.

14895958401 is the 61025-th centered octagonal number.

It is an amenable number.

14895958401 is a deficient number, since it is larger than the sum of its proper divisors (7792636528).

14895958401 is an frugal number, since it uses more digits than its factorization.

14895958401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 14895958401 in words is "fourteen billion, eight hundred ninety-five million, nine hundred fifty-eight thousand, four hundred one".