8149832712 has 256 divisors, whose sum is σ = 26801971200. Its totient is φ = 2246330880.

The previous prime is 8149832711. The next prime is 8149832723. The reversal of 8149832712 is 2172389418.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8149832711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5186887 + ... + 5188457.

It is an arithmetic number, because the mean of its divisors is an integer number (104695200).

Almost surely, 2^8149832712 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 8149832712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400985600).

8149832712 is an abundant number, since it is smaller than the sum of its proper divisors (18652138488).

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

8149832712 is a wasteful number, since it uses less digits than its factorization.

8149832712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 8149832712 is about 90276.4238990446. The cubic root of 8149832712 is about 2012.4089095867.

The spelling of 8149832712 in words is "eight billion, one hundred forty-nine million, eight hundred thirty-two thousand, seven hundred twelve".