256749648906912 has 768 divisors, whose sum is σ = 865347569049600. Its totient is φ = 64936242708480.

The previous prime is 256749648906911. The next prime is 256749648906943. The reversal of 256749648906912 is 219609846947652.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (256749648906911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4232641639 + ... + 4232702297.

It is an arithmetic number, because the mean of its divisors is an integer number (1126754647200).

Almost surely, 2^{256749648906912} 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 256749648906912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432673784524800).

256749648906912 is an abundant number, since it is smaller than the sum of its proper divisors (608597920142688).

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

256749648906912 is a wasteful number, since it uses less digits than its factorization.

256749648906912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60989 (or 60981 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 78.

The spelling of 256749648906912 in words is "two hundred fifty-six trillion, seven hundred forty-nine billion, six hundred forty-eight million, nine hundred six thousand, nine hundred twelve".