4773944448 has 576 divisors, whose sum is σ = 17704327680. Its totient is φ = 1207664640.

The previous prime is 4773944447. The next prime is 4773944459. The reversal of 4773944448 is 8444493774.

4773944448 is a `hidden beast` number, since 47 + 73 + 94 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4773944394 and 4773944403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4773944443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42247240 + ... + 42247352.

It is an arithmetic number, because the mean of its divisors is an integer number (30736680).

Almost surely, 2^4773944448 is an apocalyptic number.

4773944448 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 4773944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8852163840).

4773944448 is an abundant number, since it is smaller than the sum of its proper divisors (12930383232).

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

4773944448 is a wasteful number, since it uses less digits than its factorization.

4773944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 4773944448 is about 69093.7366770679. The cubic root of 4773944448 is about 1683.8075545097.

The spelling of 4773944448 in words is "four billion, seven hundred seventy-three million, nine hundred forty-four thousand, four hundred forty-eight".