8282004808224 has 96 divisors (see below), whose sum is σ = 24888342721536. Its totient is φ = 2362255822080.

The previous prime is 8282004808219. The next prime is 8282004808229. The reversal of 8282004808224 is 4228084002828.

It is an interprime number because it is at equal distance from previous prime (8282004808219) and next prime (8282004808229).

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

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

It is not an unprimeable number, because it can be changed into a prime (8282004808229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10103332 + ... + 10892259.

It is an arithmetic number, because the mean of its divisors is an integer number (259253570016).

Almost surely, 2^{8282004808224} is an apocalyptic number.

8282004808224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8282004808224 is an abundant number, since it is smaller than the sum of its proper divisors (16606337913312).

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

8282004808224 is a wasteful number, since it uses less digits than its factorization.

8282004808224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20996198 (or 20996190 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8282004808224 in words is "eight trillion, two hundred eighty-two billion, four million, eight hundred eight thousand, two hundred twenty-four".