9924353434464 has 192 divisors, whose sum is σ = 30053199052800. Its totient is φ = 2808917733888.

The previous prime is 9924353434403. The next prime is 9924353434477. The reversal of 9924353434464 is 4644343534299.

It is a junction number, because it is equal to n+sod(n) for n = 9924353434398 and 9924353434407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56153467 + ... + 56329925.

It is an arithmetic number, because the mean of its divisors is an integer number (156527078400).

Almost surely, 2^{9924353434464} 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 9924353434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026599526400).

9924353434464 is an abundant number, since it is smaller than the sum of its proper divisors (20128845618336).

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

9924353434464 is a wasteful number, since it uses less digits than its factorization.

9924353434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177265 (or 177257 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 60.

The spelling of 9924353434464 in words is "nine trillion, nine hundred twenty-four billion, three hundred fifty-three million, four hundred thirty-four thousand, four hundred sixty-four".