8669461916025 has 135 divisors (see below), whose sum is σ = 16350380680381. Its totient is φ = 4541246406720.

The previous prime is 8669461915999. The next prime is 8669461916041. The reversal of 8669461916025 is 5206191649668.

The square root of 8669461916025 is 2944395.

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

8669461916025 is a `hidden beast` number, since 8 + 6 + 6 + 9 + 4 + 6 + 19 + 1 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4459644333369 + 4209817582656 = 2111787^2 + 2051784^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 8669461916025 - 2⁵ = 8669461915993 is a prime.

It is a Duffinian number.

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, 7817368171 + ... + 7817369279.

Almost surely, 2^{8669461916025} is an apocalyptic number.

8669461916025 is the 2944395-th square number.

8669461916025 is the 1472198-th centered octagonal number.

It is an amenable number.

8669461916025 is a deficient number, since it is larger than the sum of its proper divisors (7680918764356).

8669461916025 is an frugal number, since it uses more digits than its factorization.

8669461916025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 8669461916025 in words is "eight trillion, six hundred sixty-nine billion, four hundred sixty-one million, nine hundred sixteen thousand, twenty-five".