8124334218 has 288 divisors, whose sum is σ = 24051081600. Its totient is φ = 1928551680.

The previous prime is 8124334201. The next prime is 8124334247.

It is a happy number.

8124334218 is a `hidden beast` number, since 8 + 1 + 2 + 433 + 4 + 218 = 666.

8124334218 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35477328 + ... + 35477556.

It is an arithmetic number, because the mean of its divisors is an integer number (83510700).

Almost surely, 2^8124334218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8124334218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025540800).

8124334218 is an abundant number, since it is smaller than the sum of its proper divisors (15926747382).

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

8124334218 is a wasteful number, since it uses less digits than its factorization.

8124334218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8124334218 is about 90135.0887168810. The cubic root of 8124334218 is about 2010.3079664749.

The spelling of 8124334218 in words is "eight billion, one hundred twenty-four million, three hundred thirty-four thousand, two hundred eighteen".