8166006618 has 192 divisors, whose sum is σ = 22541137920. Its totient is φ = 1921518720.

The previous prime is 8166006529. The next prime is 8166006647.

8166006618 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8166006618.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2218996 + ... + 2222672.

It is an arithmetic number, because the mean of its divisors is an integer number (117401760).

Almost surely, 2^8166006618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8166006618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270568960).

8166006618 is an abundant number, since it is smaller than the sum of its proper divisors (14375131302).

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

8166006618 is a wasteful number, since it uses less digits than its factorization.

8166006618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8166006618 is about 90365.9593984372. The cubic root of 8166006618 is about 2013.7392847328.

The spelling of 8166006618 in words is "eight billion, one hundred sixty-six million, six thousand, six hundred eighteen".