9456086255625 has 225 divisors, whose sum is σ = 17981750734563. Its totient is φ = 4950624744000.

The previous prime is 9456086255611. The next prime is 9456086255647. The reversal of 9456086255625 is 5265526806549.

The square root of 9456086255625 is 3075075.

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

9456086255625 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 0 + 8 + 62 + 5 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2919085012089 + 6537001243536 = 1708533^2 + 2556756^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 9456086255625 - 2¹¹ = 9456086253577 is a prime.

It is an unprimeable number.

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 224 ways as a sum of consecutive naturals, for example, 54659458039 + ... + 54659458211.

Almost surely, 2^{9456086255625} is an apocalyptic number.

9456086255625 is the 3075075-th square number.

9456086255625 is the 1537538-th centered octagonal number.

It is an amenable number.

9456086255625 is a deficient number, since it is larger than the sum of its proper divisors (8525664478938).

9456086255625 is an frugal number, since it uses more digits than its factorization.

9456086255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 9456086255625 in words is "nine trillion, four hundred fifty-six billion, eighty-six million, two hundred fifty-five thousand, six hundred twenty-five".