9802116224 has 64 divisors (see below), whose sum is σ = 20723684760. Its totient is φ = 4602200064.

The previous prime is 9802116223. The next prime is 9802116253. The reversal of 9802116224 is 4226112089.

It can be written as a sum of positive squares in 4 ways, for example, as 9690433600 + 111682624 = 98440^2 + 10568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9802116221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989504 + ... + 999360.

Almost surely, 2^9802116224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9802116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361842380).

9802116224 is an abundant number, since it is smaller than the sum of its proper divisors (10921568536).

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

9802116224 is a wasteful number, since it uses less digits than its factorization.

9802116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 9802116224 is about 99005.6373344468. The cubic root of 9802116224 is about 2140.1289863151.

The spelling of 9802116224 in words is "nine billion, eight hundred two million, one hundred sixteen thousand, two hundred twenty-four".