9473823948800 has 180 divisors, whose sum is σ = 24067442368956. Its totient is φ = 3697095475200.

The previous prime is 9473823948749. The next prime is 9473823948839. The reversal of 9473823948800 is 88493283749.

It can be written as a sum of positive squares in 6 ways, for example, as 884141522944 + 8589682425856 = 940288^2 + 2930816^2 .

It is a super-5 number, since 5×9473823948800⁵ (a number of 66 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 16511534 + ... + 17075666.

Almost surely, 2^{9473823948800} 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 9473823948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033721184478).

9473823948800 is an abundant number, since it is smaller than the sum of its proper divisors (14593618420156).

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

9473823948800 is an equidigital number, since it uses as much as digits as its factorization.

9473823948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564212 (or 564181 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 65.

The spelling of 9473823948800 in words is "nine trillion, four hundred seventy-three billion, eight hundred twenty-three million, nine hundred forty-eight thousand, eight hundred".