256382641152 has 440 divisors, whose sum is σ = 846019532160. Its totient is φ = 76686704640.

The previous prime is 256382641133. The next prime is 256382641153. The reversal of 256382641152 is 251146283652.

256382641152 is a `hidden beast` number, since 2 + 5 + 638 + 2 + 6 + 4 + 1 + 1 + 5 + 2 = 666.

256382641152 is digitally balanced in base 3, 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 = 256382641098 and 256382641107.

It is not an unprimeable number, because it can be changed into a prime (256382641153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72076558 + ... + 72080114.

It is an arithmetic number, because the mean of its divisors is an integer number (1922771664).

Almost surely, 2^256382641152 is an apocalyptic number.

256382641152 is a gapful number since it is divisible by the number (22) 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 256382641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423009766080).

256382641152 is an abundant number, since it is smaller than the sum of its proper divisors (589636891008).

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

256382641152 is a wasteful number, since it uses less digits than its factorization.

256382641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3652 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 256382641152 in words is "two hundred fifty-six billion, three hundred eighty-two million, six hundred forty-one thousand, one hundred fifty-two".