9923222181600 has 1296 divisors, whose sum is σ = 44664019257312. Its totient is φ = 2054136913920.

The previous prime is 9923222181577. The next prime is 9923222181611. The reversal of 9923222181600 is 61812223299.

9923222181600 is a `hidden beast` number, since 9 + 9 + 2 + 3 + 2 + 22 + 18 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 243058789 + ... + 243099611.

It is an arithmetic number, because the mean of its divisors is an integer number (34462977822).

Almost surely, 2^{9923222181600} is an apocalyptic number.

9923222181600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9923222181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22332009628656).

9923222181600 is an abundant number, since it is smaller than the sum of its proper divisors (34740797075712).

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

9923222181600 is a wasteful number, since it uses less digits than its factorization.

9923222181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40929 (or 40906 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 9923222181600 in words is "nine trillion, nine hundred twenty-three billion, two hundred twenty-two million, one hundred eighty-one thousand, six hundred".