9004950680625 has 75 divisors (see below), whose sum is σ = 16810679600407. Its totient is φ = 4802280264000.

The previous prime is 9004950680623. The next prime is 9004950680629. The reversal of 9004950680625 is 5260860594009.

It is a happy number.

The square root of 9004950680625 is 3000825.

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

9004950680625 is a `hidden beast` number, since 9 + 0 + 0 + 4 + 9 + 5 + 0 + 6 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 8343357149169 + 661593531456 = 2888487^2 + 813384^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 9004950680625 - 2¹ = 9004950680623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9004950680623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 675178957 + ... + 675192293.

Almost surely, 2^{9004950680625} is an apocalyptic number.

9004950680625 is the 3000825-th square number.

9004950680625 is the 1500413-rd centered octagonal number.

It is an amenable number.

9004950680625 is a deficient number, since it is larger than the sum of its proper divisors (7805728919782).

9004950680625 is an frugal number, since it uses more digits than its factorization.

9004950680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26706 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 9004950680625 in words is "nine trillion, four billion, nine hundred fifty million, six hundred eighty thousand, six hundred twenty-five".