256458890688 has 1344 divisors, whose sum is σ = 996271718400. Its totient is φ = 57062154240.

The previous prime is 256458890687. The next prime is 256458890713. The reversal of 256458890688 is 886098854652.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×256458890688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256458890687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2019361281 + ... + 2019361407.

It is an arithmetic number, because the mean of its divisors is an integer number (741273600).

Almost surely, 2^256458890688 is an apocalyptic number.

256458890688 is a gapful number since it is divisible by the number (28) 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 256458890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498135859200).

256458890688 is an abundant number, since it is smaller than the sum of its proper divisors (739812827712).

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

256458890688 is a wasteful number, since it uses less digits than its factorization.

256458890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 69.

The spelling of 256458890688 in words is "two hundred fifty-six billion, four hundred fifty-eight million, eight hundred ninety thousand, six hundred eighty-eight".