9921333248 has 108 divisors (see below), whose sum is σ = 20791170855. Its totient is φ = 4733030400.

The previous prime is 9921333241. The next prime is 9921333277. The reversal of 9921333248 is 8423331299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4960666624 + 4960666624 = 70432^2 + 70432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70432.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9921333199 and 9921333208.

It is not an unprimeable number, because it can be changed into a prime (9921333241) by changing a digit.

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, 139737053 + ... + 139737123.

Almost surely, 2^9921333248 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 9921333248

9921333248 is an abundant number, since it is smaller than the sum of its proper divisors (10869837607).

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

9921333248 is an frugal number, since it uses more digits than its factorization.

9921333248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 104 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 9921333248 is about 99605.8896250618. The cubic root of 9921333248 is about 2148.7703982673.

The spelling of 9921333248 in words is "nine billion, nine hundred twenty-one million, three hundred thirty-three thousand, two hundred forty-eight".