8129382912 has 400 divisors, whose sum is σ = 28448304192. Its totient is φ = 2262712320.

The previous prime is 8129382889. The next prime is 8129382941. The reversal of 8129382912 is 2192839218.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11902123 + ... + 11902805.

Almost surely, 2^8129382912 is an apocalyptic number.

8129382912 is a gapful number since it is divisible by the number (82) 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 8129382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224152096).

8129382912 is an abundant number, since it is smaller than the sum of its proper divisors (20318921280).

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

8129382912 is an equidigital number, since it uses as much as digits as its factorization.

8129382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 736 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 8129382912 is about 90163.0906302573. The cubic root of 8129382912 is about 2010.7243012308.

The spelling of 8129382912 in words is "eight billion, one hundred twenty-nine million, three hundred eighty-two thousand, nine hundred twelve".