256085181336384 has 112 divisors (see below), whose sum is σ = 752940303250240. Its totient is φ = 85350695431680.

The previous prime is 256085181336331. The next prime is 256085181336407. The reversal of 256085181336384 is 483633181580652.

256085181336384 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 8 + 518 + 1 + 3 + 36 + 3 + 84 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3804207 + ... + 22948689.

It is an arithmetic number, because the mean of its divisors is an integer number (6722681279020).

Almost surely, 2^{256085181336384} is an apocalyptic number.

256085181336384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256085181336384 is an abundant number, since it is smaller than the sum of its proper divisors (496855121913856).

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

256085181336384 is a wasteful number, since it uses less digits than its factorization.

256085181336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19152245 (or 19152229 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 256085181336384 in words is "two hundred fifty-six trillion, eighty-five billion, one hundred eighty-one million, three hundred thirty-six thousand, three hundred eighty-four".