8144334000 has 320 divisors, whose sum is σ = 31829391360. Its totient is φ = 1974240000.

The previous prime is 8144333927. The next prime is 8144334001. The reversal of 8144334000 is 4334418.

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 (8144334001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587145 + ... + 600855.

It is an arithmetic number, because the mean of its divisors is an integer number (99466848).

Almost surely, 2^8144334000 is an apocalyptic number.

8144334000 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 8144334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914695680).

8144334000 is an abundant number, since it is smaller than the sum of its proper divisors (23685057360).

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

8144334000 is a wasteful number, since it uses less digits than its factorization.

8144334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13754 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8144334000 is about 90245.9638986697. The cubic root of 8144334000 is about 2011.9562153610.

Adding to 8144334000 its reverse (4334418), we get a palindrome (8148668418).

The spelling of 8144334000 in words is "eight billion, one hundred forty-four million, three hundred thirty-four thousand".