4445205648 has 240 divisors, whose sum is σ = 13244866560. Its totient is φ = 1280448000.

The previous prime is 4445205631. The next prime is 4445205649. The reversal of 4445205648 is 8465025444.

It is a super-2 number, since 2×4445205648² = 39519706506022199808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4445205649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23273233 + ... + 23273423.

It is an arithmetic number, because the mean of its divisors is an integer number (55186944).

Almost surely, 2^4445205648 is an apocalyptic number.

4445205648 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 4445205648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622433280).

4445205648 is an abundant number, since it is smaller than the sum of its proper divisors (8799660912).

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

4445205648 is a wasteful number, since it uses less digits than its factorization.

4445205648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The square root of 4445205648 is about 66672.3754489069. The cubic root of 4445205648 is about 1644.2352419987.

The spelling of 4445205648 in words is "four billion, four hundred forty-five million, two hundred five thousand, six hundred forty-eight".