8148668418 has 64 divisors (see below), whose sum is σ = 19798992000. Its totient is φ = 2463713280.

The previous prime is 8148668399. The next prime is 8148668419.

It is a happy number.

8148668418 is a `hidden beast` number, since 81 + 486 + 6 + 84 + 1 + 8 = 666.

8148668418 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8148668419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251430 + ... + 281982.

It is an arithmetic number, because the mean of its divisors is an integer number (309359250).

Almost surely, 2^8148668418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8148668418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899496000).

8148668418 is an abundant number, since it is smaller than the sum of its proper divisors (11650323582).

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

8148668418 is a wasteful number, since it uses less digits than its factorization.

8148668418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31024 (or 31018 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 8148668418 is about 90269.9751744732. The cubic root of 8148668418 is about 2012.3130733781.

The spelling of 8148668418 in words is "eight billion, one hundred forty-eight million, six hundred sixty-eight thousand, four hundred eighteen".