8002846848 has 96 divisors (see below), whose sum is σ = 21627578160. Its totient is φ = 2621963776.

The previous prime is 8002846843. The next prime is 8002846877. The reversal of 8002846848 is 8486482008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8002846797 and 8002846806.

It is not an unprimeable number, because it can be changed into a prime (8002846843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1333711 + ... + 1339697.

Almost surely, 2^8002846848 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 8002846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813789080).

8002846848 is an abundant number, since it is smaller than the sum of its proper divisors (13624731312).

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

8002846848 is an equidigital number, since it uses as much as digits as its factorization.

8002846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 8002846848 is about 89458.6320485620. The cubic root of 8002846848 is about 2000.2372091981.

The spelling of 8002846848 in words is "eight billion, two million, eight hundred forty-six thousand, eight hundred forty-eight".