96684250824225 has 135 divisors (see below), whose sum is σ = 179892052561353. Its totient is φ = 51335789852160.

The previous prime is 96684250824191. The next prime is 96684250824253. The reversal of 96684250824225 is 52242805248669.

It is a happy number.

The square root of 96684250824225 is 9832815.

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

96684250824225 is a `hidden beast` number, since 9 + 6 + 6 + 84 + 2 + 50 + 82 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5293786477329 + 91390464346896 = 2300823^2 + 9559836^2 .

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

It is not a de Polignac number, because 96684250824225 - 2¹³ = 96684250816033 is a prime.

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, 156194265966 + ... + 156194266584.

Almost surely, 2^{96684250824225} is an apocalyptic number.

96684250824225 is the 9832815-th square number.

96684250824225 is the 4916408-th centered octagonal number.

It is an amenable number.

96684250824225 is a deficient number, since it is larger than the sum of its proper divisors (83207801737128).

96684250824225 is an frugal number, since it uses more digits than its factorization.

96684250824225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 96684250824225 in words is "ninety-six trillion, six hundred eighty-four billion, two hundred fifty million, eight hundred twenty-four thousand, two hundred twenty-five".