8233948800 has 1152 divisors, whose sum is σ = 37883289600. Its totient is φ = 1653350400.

The previous prime is 8233948799. The next prime is 8233948867. The reversal of 8233948800 is 88493328.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104227161 + ... + 104227239.

It is an arithmetic number, because the mean of its divisors is an integer number (32884800).

Almost surely, 2^8233948800 is an apocalyptic number.

8233948800 is a gapful number since it is divisible by the number (80) 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 8233948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941644800).

8233948800 is an abundant number, since it is smaller than the sum of its proper divisors (29649340800).

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

8233948800 is a wasteful number, since it uses less digits than its factorization.

8233948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8233948800 is about 90741.1086553388. The cubic root of 8233948800 is about 2019.3087200970.

The spelling of 8233948800 in words is "eight billion, two hundred thirty-three million, nine hundred forty-eight thousand, eight hundred".