8449005312 has 216 divisors, whose sum is σ = 26674567920. Its totient is φ = 2550743040.

The previous prime is 8449005277. The next prime is 8449005343. The reversal of 8449005312 is 2135009448.

8449005312 is a `hidden beast` number, since 84 + 49 + 0 + 0 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9858388 + ... + 9859244.

It is an arithmetic number, because the mean of its divisors is an integer number (123493370).

Almost surely, 2^8449005312 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 8449005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337283960).

8449005312 is an abundant number, since it is smaller than the sum of its proper divisors (18225562608).

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

8449005312 is a wasteful number, since it uses less digits than its factorization.

8449005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8449005312 is about 91918.4710055601. The cubic root of 8449005312 is about 2036.7381320676.

The spelling of 8449005312 in words is "eight billion, four hundred forty-nine million, five thousand, three hundred twelve".