4449456648 has 384 divisors, whose sum is σ = 16086470400. Its totient is φ = 1077608448.

The previous prime is 4449456623. The next prime is 4449456679. The reversal of 4449456648 is 8466549444.

4449456648 is a `hidden beast` number, since 44 + 494 + 56 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4449456594 and 4449456603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4789048 + ... + 4789976.

It is an arithmetic number, because the mean of its divisors is an integer number (41891850).

Almost surely, 2^4449456648 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 4449456648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043235200).

4449456648 is an abundant number, since it is smaller than the sum of its proper divisors (11637013752).

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

4449456648 is a wasteful number, since it uses less digits than its factorization.

4449456648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 4449456648 is about 66704.2476008837. The cubic root of 4449456648 is about 1644.7592085414.

The spelling of 4449456648 in words is "four billion, four hundred forty-nine million, four hundred fifty-six thousand, six hundred forty-eight".