9939292416 has 243 divisors, whose sum is σ = 30060245943. Its totient is φ = 3158369280.

The previous prime is 9939292393. The next prime is 9939292423. The reversal of 9939292416 is 6142929399.

The square root of 9939292416 is 99696.

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

9939292416 is a `hidden beast` number, since 9 + 9 + 392 + 9 + 241 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148347615 + ... + 148347681.

Almost surely, 2^9939292416 is an apocalyptic number.

9939292416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9939292416 is the 99696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9939292416

9939292416 is an abundant number, since it is smaller than the sum of its proper divisors (20120953527).

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

9939292416 is an equidigital number, since it uses as much as digits as its factorization.

9939292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 103 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The cubic root of 9939292416 is about 2150.0661537965.

The spelling of 9939292416 in words is "nine billion, nine hundred thirty-nine million, two hundred ninety-two thousand, four hundred sixteen".