9577545647121 has 81 divisors (see below), whose sum is σ = 14476286608329. Its totient is φ = 6101630787600.

The previous prime is 9577545647119. The next prime is 9577545647251. The reversal of 9577545647121 is 1217465457759.

The square root of 9577545647121 is 3094761.

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

9577545647121 is a `hidden beast` number, since 9 + 5 + 7 + 7 + 54 + 564 + 7 + 12 + 1 = 666.

It is not a de Polignac number, because 9577545647121 - 2¹ = 9577545647119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9577545647101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30795966556 + ... + 30795966866.

Almost surely, 2^{9577545647121} is an apocalyptic number.

9577545647121 is the 3094761-st square number.

9577545647121 is the 1547381-st centered octagonal number.

It is an amenable number.

9577545647121 is a deficient number, since it is larger than the sum of its proper divisors (4898740961208).

9577545647121 is an equidigital number, since it uses as much as digits as its factorization.

9577545647121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 452 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 63.

The spelling of 9577545647121 in words is "nine trillion, five hundred seventy-seven billion, five hundred forty-five million, six hundred forty-seven thousand, one hundred twenty-one".