256111400218968 has 192 divisors, whose sum is σ = 806236846272000. Its totient is φ = 71927739772416.

The previous prime is 256111400218943. The next prime is 256111400218969. The reversal of 256111400218968 is 869812004111652.

256111400218968 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 11 + 400 + 218 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256111400218969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323399821 + ... + 324190787.

It is an arithmetic number, because the mean of its divisors is an integer number (4199150241000).

Almost surely, 2^{256111400218968} is an apocalyptic number.

256111400218968 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 256111400218968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403118423136000).

256111400218968 is an abundant number, since it is smaller than the sum of its proper divisors (550125446053032).

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

256111400218968 is a wasteful number, since it uses less digits than its factorization.

256111400218968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801934 (or 801927 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 256111400218968 in words is "two hundred fifty-six trillion, one hundred eleven billion, four hundred million, two hundred eighteen thousand, nine hundred sixty-eight".