96746600920225 has 81 divisors (see below), whose sum is σ = 123330534913209. Its totient is φ = 75285416068800.

The previous prime is 96746600920213. The next prime is 96746600920253. The reversal of 96746600920225 is 52202900664769.

The square root of 96746600920225 is 9835985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37109162209441 + 59637438710784 = 6091729^2 + 7722528^2 .

It is not a de Polignac number, because 96746600920225 - 2⁷ = 96746600920097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96746600920225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 359652791391 + ... + 359652791659.

Almost surely, 2^{96746600920225} is an apocalyptic number.

96746600920225 is the 9835985-th square number.

96746600920225 is the 4917993-rd centered octagonal number.

It is an amenable number.

96746600920225 is a deficient number, since it is larger than the sum of its proper divisors (26583933992984).

96746600920225 is an frugal number, since it uses more digits than its factorization.

96746600920225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 96746600920225 in words is "ninety-six trillion, seven hundred forty-six billion, six hundred million, nine hundred twenty thousand, two hundred twenty-five".