256380166848 has 672 divisors, whose sum is σ = 819404812800. Its totient is φ = 70173278208.

The previous prime is 256380166807. The next prime is 256380166873. The reversal of 256380166848 is 848661083652.

256380166848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1844461563 + ... + 1844461701.

It is an arithmetic number, because the mean of its divisors is an integer number (1219352400).

Almost surely, 2^256380166848 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 256380166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409702406400).

256380166848 is an abundant number, since it is smaller than the sum of its proper divisors (563024645952).

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

256380166848 is a wasteful number, since it uses less digits than its factorization.

256380166848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 256380166848 in words is "two hundred fifty-six billion, three hundred eighty million, one hundred sixty-six thousand, eight hundred forty-eight".