8813368200 has 768 divisors, whose sum is σ = 35837706240. Its totient is φ = 1741824000.

The previous prime is 8813368153. The next prime is 8813368211. The reversal of 8813368200 is 28633188.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 69396537 + ... + 69396663.

It is an arithmetic number, because the mean of its divisors is an integer number (46663680).

Almost surely, 2^8813368200 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 8813368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918853120).

8813368200 is an abundant number, since it is smaller than the sum of its proper divisors (27024338040).

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

8813368200 is a wasteful number, since it uses less digits than its factorization.

8813368200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8813368200 is about 93879.5409021582. The cubic root of 8813368200 is about 2065.6051358481.

The spelling of 8813368200 in words is "eight billion, eight hundred thirteen million, three hundred sixty-eight thousand, two hundred".