48268740308256 has 1152 divisors, whose sum is σ = 166949069414400. Its totient is φ = 13585540423680.

The previous prime is 48268740308251. The next prime is 48268740308323. The reversal of 48268740308256 is 65280304786284.

48268740308256 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 8 + 74 + 0 + 308 + 256 = 666.

48268740308256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48268740308193 and 48268740308202.

It is not an unprimeable number, because it can be changed into a prime (48268740308251) 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 191 ways as a sum of consecutive naturals, for example, 44000674300 + ... + 44000675396.

It is an arithmetic number, because the mean of its divisors is an integer number (144921067200).

Almost surely, 2^{48268740308256} 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 48268740308256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83474534707200).

48268740308256 is an abundant number, since it is smaller than the sum of its proper divisors (118680329106144).

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

48268740308256 is a wasteful number, since it uses less digits than its factorization.

48268740308256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 48268740308256 in words is "forty-eight trillion, two hundred sixty-eight billion, seven hundred forty million, three hundred eight thousand, two hundred fifty-six".