9923349973824 has 784 divisors, whose sum is σ = 34985968859520. Its totient is φ = 2731145195520.

The previous prime is 9923349973807. The next prime is 9923349973843. The reversal of 9923349973824 is 4283799433299.

9923349973824 is a `hidden beast` number, since 9 + 9 + 233 + 4 + 9 + 9 + 7 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5332266654 + ... + 5332268514.

It is an arithmetic number, because the mean of its divisors is an integer number (44624960280).

Almost surely, 2^{9923349973824} 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 9923349973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492984429760).

9923349973824 is an abundant number, since it is smaller than the sum of its proper divisors (25062618885696).

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

9923349973824 is a wasteful number, since it uses less digits than its factorization.

9923349973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2465 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 9923349973824 in words is "nine trillion, nine hundred twenty-three billion, three hundred forty-nine million, nine hundred seventy-three thousand, eight hundred twenty-four".