9646540268544 has 99 divisors (see below), whose sum is σ = 27855036654393. Its totient is φ = 3215414034432.

The previous prime is 9646540268537. The next prime is 9646540268551. The reversal of 9646540268544 is 4458620456469.

The square root of 9646540268544 is 3105888.

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

9646540268544 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 540 + 2 + 6 + 85 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9646540268537) and next prime (9646540268551).

It can be written as a sum of positive squares in only one way, i.e., 8463910118400 + 1182630150144 = 2909280^2 + 1087488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 298149072 + ... + 298181424.

Almost surely, 2^{9646540268544} is an apocalyptic number.

9646540268544 is the 3105888-th square number.

It is an amenable number.

9646540268544 is an abundant number, since it is smaller than the sum of its proper divisors (18208496385849).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9646540268544 is an frugal number, since it uses more digits than its factorization.

9646540268544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64732 (or 32358 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 9646540268544 in words is "nine trillion, six hundred forty-six billion, five hundred forty million, two hundred sixty-eight thousand, five hundred forty-four".