8149857984 has 224 divisors, whose sum is σ = 25214884800. Its totient is φ = 2577899520.

The previous prime is 8149857977. The next prime is 8149858001. The reversal of 8149857984 is 4897589418.

8149857984 is a `hidden beast` number, since 8 + 1 + 498 + 57 + 98 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2619822 + ... + 2622930.

It is an arithmetic number, because the mean of its divisors is an integer number (112566450).

Almost surely, 2^8149857984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8149857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607442400).

8149857984 is an abundant number, since it is smaller than the sum of its proper divisors (17065026816).

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

8149857984 is a wasteful number, since it uses less digits than its factorization.

8149857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3192 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The square root of 8149857984 is about 90276.5638690352. The cubic root of 8149857984 is about 2012.4109896926.

The spelling of 8149857984 in words is "eight billion, one hundred forty-nine million, eight hundred fifty-seven thousand, nine hundred eighty-four".