9634816000000 has 357 divisors, whose sum is σ = 24337422793407. Its totient is φ = 3814195200000.

The previous prime is 9634815999997. The next prime is 9634816000081. The reversal of 9634816000000 is 6184369.

The square root of 9634816000000 is 3104000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 7605946220544 + 2028869779456 = 2757888^2 + 1424384^2 .

It is a Duffinian number.

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 20 ways as a sum of consecutive naturals, for example, 99327999952 + ... + 99328000048.

Almost surely, 2^{9634816000000} is an apocalyptic number.

9634816000000 is the 3104000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9634816000000

9634816000000 is an abundant number, since it is smaller than the sum of its proper divisors (14702606793407).

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

9634816000000 is an frugal number, since it uses more digits than its factorization.

9634816000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 9634816000000 in words is "nine trillion, six hundred thirty-four billion, eight hundred sixteen million", and thus it is an aban number.