9916242336 has 864 divisors, whose sum is σ = 39527429760. Its totient is φ = 2293125120.

The previous prime is 9916242319. The next prime is 9916242353. The reversal of 9916242336 is 6332426199.

It is an interprime number because it is at equal distance from previous prime (9916242319) and next prime (9916242353).

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

It is a junction number, because it is equal to n+sod(n) for n = 9916242291 and 9916242300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168071875 + ... + 168071933.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 2^9916242336 is an apocalyptic number.

9916242336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9916242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763714880).

9916242336 is an abundant number, since it is smaller than the sum of its proper divisors (29611187424).

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

9916242336 is a wasteful number, since it uses less digits than its factorization.

9916242336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 9916242336 is about 99580.3310699457. The cubic root of 9916242336 is about 2148.4028041032.

It can be divided in two parts, 9916 and 242336, that added together give a palindrome (252252).

The spelling of 9916242336 in words is "nine billion, nine hundred sixteen million, two hundred forty-two thousand, three hundred thirty-six".