256508412346368 has 1920 divisors, whose sum is σ = 988407904512000. Its totient is φ = 64021025783808.

The previous prime is 256508412346367. The next prime is 256508412346397. The reversal of 256508412346368 is 863643214805652.

256508412346368 is a `hidden beast` number, since 2 + 5 + 6 + 50 + 8 + 41 + 23 + 463 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (256508412346363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276112391728 + ... + 276112392656.

It is an arithmetic number, because the mean of its divisors is an integer number (514795783600).

Almost surely, 2^{256508412346368} is an apocalyptic number.

256508412346368 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 256508412346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494203952256000).

256508412346368 is an abundant number, since it is smaller than the sum of its proper divisors (731899492165632).

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

256508412346368 is an frugal number, since it uses more digits than its factorization.

256508412346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 256508412346368 in words is "two hundred fifty-six trillion, five hundred eight billion, four hundred twelve million, three hundred forty-six thousand, three hundred sixty-eight".