256868665856352 has 240 divisors, whose sum is σ = 846393828133392. Its totient is φ = 75735232865280.

The previous prime is 256868665856329. The next prime is 256868665856393. The reversal of 256868665856352 is 253658566868652.

256868665856352 is a `hidden beast` number, since 2 + 5 + 6 + 86 + 86 + 65 + 8 + 56 + 352 = 666.

It is a super-2 number, since 2×256868665856352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 120690223 + ... + 122800110.

Almost surely, 2^{256868665856352} is an apocalyptic number.

256868665856352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256868665856352 is an abundant number, since it is smaller than the sum of its proper divisors (589525162277040).

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

256868665856352 is a wasteful number, since it uses less digits than its factorization.

256868665856352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243490403 (or 243490386 counting only the distinct ones).

The product of its digits is 29859840000, while the sum is 81.

The spelling of 256868665856352 in words is "two hundred fifty-six trillion, eight hundred sixty-eight billion, six hundred sixty-five million, eight hundred fifty-six thousand, three hundred fifty-two".