8618338168 has 64 divisors (see below), whose sum is σ = 17821440000. Its totient is φ = 3874780800.

The previous prime is 8618338151. The next prime is 8618338199.

8618338168 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168313 + ... + 3171031.

It is an arithmetic number, because the mean of its divisors is an integer number (278460000).

Almost surely, 2^8618338168 is an apocalyptic number.

8618338168 is a gapful number since it is divisible by the number (88) 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 8618338168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720000).

8618338168 is an abundant number, since it is smaller than the sum of its proper divisors (9203101832).

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

8618338168 is a wasteful number, since it uses less digits than its factorization.

8618338168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3112 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The square root of 8618338168 is about 92835.0050789033. The cubic root of 8618338168 is about 2050.2548299514.

The spelling of 8618338168 in words is "eight billion, six hundred eighteen million, three hundred thirty-eight thousand, one hundred sixty-eight".