9968837299224 has 128 divisors (see below), whose sum is σ = 26765005063680. Its totient is φ = 3082825267200.

The previous prime is 9968837299129. The next prime is 9968837299237. The reversal of 9968837299224 is 4229927388699.

It is a super-2 number, since 2×9968837299224² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9968837299224.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 161118054 + ... + 161179914.

It is an arithmetic number, because the mean of its divisors is an integer number (209101602060).

Almost surely, 2^{9968837299224} 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 9968837299224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382502531840).

9968837299224 is an abundant number, since it is smaller than the sum of its proper divisors (16796167764456).

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

9968837299224 is a wasteful number, since it uses less digits than its factorization.

9968837299224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67521 (or 67517 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 78.

The spelling of 9968837299224 in words is "nine trillion, nine hundred sixty-eight billion, eight hundred thirty-seven million, two hundred ninety-nine thousand, two hundred twenty-four".