4559828468448 has 192 divisors, whose sum is σ = 13277969155584. Its totient is φ = 1358477568000.

The previous prime is 4559828468411. The next prime is 4559828468449. The reversal of 4559828468448 is 8448648289554.

It is a self number, because there is not a number n which added to its sum of digits gives 4559828468448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4559828468449) by changing a digit.

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, 147690453 + ... + 147721323.

It is an arithmetic number, because the mean of its divisors is an integer number (69156089352).

Almost surely, 2^{4559828468448} is an apocalyptic number.

4559828468448 is a gapful number since it is divisible by the number (48) 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 4559828468448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638984577792).

4559828468448 is an abundant number, since it is smaller than the sum of its proper divisors (8718140687136).

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

4559828468448 is a wasteful number, since it uses less digits than its factorization.

4559828468448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33249 (or 33241 counting only the distinct ones).

The product of its digits is 2831155200, while the sum is 75.

The spelling of 4559828468448 in words is "four trillion, five hundred fifty-nine billion, eight hundred twenty-eight million, four hundred sixty-eight thousand, four hundred forty-eight".