8148018960 has 160 divisors (see below), whose sum is σ = 28094928000. Its totient is φ = 2170520064.

The previous prime is 8148018913. The next prime is 8148018979. The reversal of 8148018960 is 698108418.

8148018960 is a `hidden beast` number, since 81 + 480 + 1 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3409446 + ... + 3411834.

It is an arithmetic number, because the mean of its divisors is an integer number (175593300).

Almost surely, 2^8148018960 is an apocalyptic number.

8148018960 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 8148018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047464000).

8148018960 is an abundant number, since it is smaller than the sum of its proper divisors (19946909040).

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

8148018960 is a wasteful number, since it uses less digits than its factorization.

8148018960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8148018960 is about 90266.3777937278. The cubic root of 8148018960 is about 2012.2596107558.

The spelling of 8148018960 in words is "eight billion, one hundred forty-eight million, eighteen thousand, nine hundred sixty".