9952333991824 has 135 divisors (see below), whose sum is σ = 22565623251483. Its totient is φ = 4239808380864.

The previous prime is 9952333991807. The next prime is 9952333991833. The reversal of 9952333991824 is 4281993332599.

The square root of 9952333991824 is 3154732.

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

It is a super-3 number, since 3×9952333991824³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9952333991824.

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 26 ways as a sum of consecutive naturals, for example, 27118076089 + ... + 27118076455.

Almost surely, 2^{9952333991824} is an apocalyptic number.

9952333991824 is the 3154732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9952333991824

9952333991824 is an abundant number, since it is smaller than the sum of its proper divisors (12613289259659).

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

9952333991824 is an frugal number, since it uses more digits than its factorization.

9952333991824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 683 counting only the distinct ones).

The product of its digits is 113374080, while the sum is 67.

The spelling of 9952333991824 in words is "nine trillion, nine hundred fifty-two billion, three hundred thirty-three million, nine hundred ninety-one thousand, eight hundred twenty-four".