48668256 has 192 divisors, whose sum is σ = 174988800. Its totient is φ = 12814848.

The previous prime is 48668239. The next prime is 48668261. The reversal of 48668256 is 65286684.

48668256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78315 + ... + 78933.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^48668256 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 48668256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

48668256 is an abundant number, since it is smaller than the sum of its proper divisors (126320544).

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

48668256 is a wasteful number, since it uses less digits than its factorization.

48668256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 644 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 48668256 is about 6976.2637564817. The cubic root of 48668256 is about 365.1028821133.

The spelling of 48668256 in words is "forty-eight million, six hundred sixty-eight thousand, two hundred fifty-six".