256229770368 has 192 divisors, whose sum is σ = 805657608000. Its totient is φ = 71672494080.

The previous prime is 256229770351. The next prime is 256229770397. The reversal of 256229770368 is 863077922652.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391933 + ... + 816131.

It is an arithmetic number, because the mean of its divisors is an integer number (4196133375).

Almost surely, 2^256229770368 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 256229770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402828804000).

256229770368 is an abundant number, since it is smaller than the sum of its proper divisors (549427837632).

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

256229770368 is a wasteful number, since it uses less digits than its factorization.

256229770368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424251 (or 424228 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 256229770368 in words is "two hundred fifty-six billion, two hundred twenty-nine million, seven hundred seventy thousand, three hundred sixty-eight".