256548348168 has 128 divisors (see below), whose sum is σ = 776277561600. Its totient is φ = 68973133824.

The previous prime is 256548348167. The next prime is 256548348193. The reversal of 256548348168 is 861843845652.

256548348168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256548348167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24067896 + ... + 24078552.

It is an arithmetic number, because the mean of its divisors is an integer number (6064668450).

Almost surely, 2^256548348168 is an apocalyptic number.

256548348168 is a gapful number since it is divisible by the number (28) 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 256548348168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388138780800).

256548348168 is an abundant number, since it is smaller than the sum of its proper divisors (519729213432).

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

256548348168 is a wasteful number, since it uses less digits than its factorization.

256548348168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19115 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 60.

The spelling of 256548348168 in words is "two hundred fifty-six billion, five hundred forty-eight million, three hundred forty-eight thousand, one hundred sixty-eight".