8382118000 has 80 divisors (see below), whose sum is σ = 20553773760. Its totient is φ = 3305568000.

The previous prime is 8382117901. The next prime is 8382118007. The reversal of 8382118000 is 8112838.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382118007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112486 + ... + 171514.

It is an arithmetic number, because the mean of its divisors is an integer number (256922172).

Almost surely, 2^8382118000 is an apocalyptic number.

8382118000 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 8382118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276886880).

8382118000 is an abundant number, since it is smaller than the sum of its proper divisors (12171655760).

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

8382118000 is a wasteful number, since it uses less digits than its factorization.

8382118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59123 (or 59107 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 8382118000 is about 91553.9076173158. The cubic root of 8382118000 is about 2031.3492126689.

The spelling of 8382118000 in words is "eight billion, three hundred eighty-two million, one hundred eighteen thousand".