8284454544828 has 576 divisors, whose sum is σ = 26387305168896. Its totient is φ = 1962926784000.

The previous prime is 8284454544713. The next prime is 8284454544887.

8284454544828 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2181840226 + ... + 2181844022.

It is an arithmetic number, because the mean of its divisors is an integer number (45811293696).

Almost surely, 2^{8284454544828} 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 8284454544828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193652584448).

8284454544828 is an abundant number, since it is smaller than the sum of its proper divisors (18102850624068).

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

8284454544828 is a wasteful number, since it uses less digits than its factorization.

8284454544828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4081 counting only the distinct ones).

The product of its digits is 419430400, while the sum is 66.

The spelling of 8284454544828 in words is "eight trillion, two hundred eighty-four billion, four hundred fifty-four million, five hundred forty-four thousand, eight hundred twenty-eight".