8005249484832 has 192 divisors, whose sum is σ = 21439135807488. Its totient is φ = 2614750848000.

The previous prime is 8005249484809. The next prime is 8005249484851. The reversal of 8005249484832 is 2384849425008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3376316607 + ... + 3376318977.

It is an arithmetic number, because the mean of its divisors is an integer number (111662165664).

Almost surely, 2^{8005249484832} 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 8005249484832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719567903744).

8005249484832 is an abundant number, since it is smaller than the sum of its proper divisors (13433886322656).

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

8005249484832 is a wasteful number, since it uses less digits than its factorization.

8005249484832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 8005249484832 in words is "eight trillion, five billion, two hundred forty-nine million, four hundred eighty-four thousand, eight hundred thirty-two".