9557638120849 has 81 divisors (see below), whose sum is σ = 12289703530419. Its totient is φ = 7407831674880.

The previous prime is 9557638120801. The next prime is 9557638120939. The reversal of 9557638120849 is 9480218367559.

The square root of 9557638120849 is 3091543.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2031175087249 + 7526463033600 = 1425193^2 + 2743440^2 .

It is not a de Polignac number, because 9557638120849 - 2¹⁵ = 9557638088081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9557638120949) 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 80 ways as a sum of consecutive naturals, for example, 14910511569 + ... + 14910512209.

It is a 1-persistent number, because it is pandigital, but 2⋅9557638120849 = 19115276241698 is not.

Almost surely, 2^{9557638120849} is an apocalyptic number.

9557638120849 is the 3091543-rd square number.

9557638120849 is the 1545772-nd centered octagonal number.

It is an amenable number.

9557638120849 is a deficient number, since it is larger than the sum of its proper divisors (2732065409570).

9557638120849 is an frugal number, since it uses more digits than its factorization.

9557638120849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 9557638120849 in words is "nine trillion, five hundred fifty-seven billion, six hundred thirty-eight million, one hundred twenty thousand, eight hundred forty-nine".