256194441216 has 1092 divisors, whose sum is σ = 955295623152. Its totient is φ = 68223762432.

The previous prime is 256194441211. The next prime is 256194441257. The reversal of 256194441216 is 612144491652.

256194441216 is a `hidden beast` number, since 2 + 5 + 6 + 194 + 441 + 2 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256194441211) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2487324621 + ... + 2487324723.

Almost surely, 2^256194441216 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 256194441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477647811576).

256194441216 is an abundant number, since it is smaller than the sum of its proper divisors (699101181936).

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

256194441216 is an equidigital number, since it uses as much as digits as its factorization.

256194441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 256194441216 in words is "two hundred fifty-six billion, one hundred ninety-four million, four hundred forty-one thousand, two hundred sixteen".