4805865968448 has 448 divisors, whose sum is σ = 13830090785280. Its totient is φ = 1467416051712.

The previous prime is 4805865968441. The next prime is 4805865968531. The reversal of 4805865968448 is 8448695685084.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4805865968448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4805865968441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5418112261 + ... + 5418113147.

It is an arithmetic number, because the mean of its divisors is an integer number (30870738360).

Almost surely, 2^{4805865968448} is an apocalyptic number.

4805865968448 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 4805865968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915045392640).

4805865968448 is an abundant number, since it is smaller than the sum of its proper divisors (9024224816832).

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

4805865968448 is a wasteful number, since it uses less digits than its factorization.

4805865968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2123366400, while the sum is 75.

The spelling of 4805865968448 in words is "four trillion, eight hundred five billion, eight hundred sixty-five million, nine hundred sixty-eight thousand, four hundred forty-eight".