9923073308200 has 288 divisors, whose sum is σ = 26635701846600. Its totient is φ = 3416715509760.

The previous prime is 9923073308173. The next prime is 9923073308201. The reversal of 9923073308200 is 28033703299.

It is a happy number.

It can be written as a sum of positive squares in 36 ways, for example, as 2550773128996 + 7372300179204 = 1597114^2 + 2715198^2 .

It is a super-2 number, since 2×9923073308200² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9923073308201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81842022 + ... + 81963178.

Almost surely, 2^{9923073308200} 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 9923073308200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317850923300).

9923073308200 is an abundant number, since it is smaller than the sum of its proper divisors (16712628538400).

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

9923073308200 is a wasteful number, since it uses less digits than its factorization.

9923073308200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121329 (or 121303 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 9923073308200 in words is "nine trillion, nine hundred twenty-three billion, seventy-three million, three hundred eight thousand, two hundred".