8230118400 has 891 divisors, whose sum is σ = 35595379209. Its totient is φ = 1881169920.

The previous prime is 8230118363. The next prime is 8230118401. The reversal of 8230118400 is 48110328.

The square root of 8230118400 is 90720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 5267275776 = 54432^2 + 72576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8230118401) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1175731197 + ... + 1175731203.

Almost surely, 2^8230118400 is an apocalyptic number.

8230118400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8230118400 is the 90720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230118400

8230118400 is an abundant number, since it is smaller than the sum of its proper divisors (27365260809).

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

8230118400 is an frugal number, since it uses more digits than its factorization.

8230118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 8230118400 is about 2018.9955467536.

Adding to 8230118400 its reverse (48110328), we get a palindrome (8278228728).

The spelling of 8230118400 in words is "eight billion, two hundred thirty million, one hundred eighteen thousand, four hundred".