2256322166784 has 240 divisors, whose sum is σ = 7449546561600. Its totient is φ = 644654039040.

The previous prime is 2256322166773. The next prime is 2256322166789. The reversal of 2256322166784 is 4876612236522.

2256322166784 is a `hidden beast` number, since 2 + 2 + 563 + 2 + 2 + 1 + 6 + 6 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2256322166784.

It is not an unprimeable number, because it can be changed into a prime (2256322166789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32995989 + ... + 33064299.

It is an arithmetic number, because the mean of its divisors is an integer number (31039777340).

Almost surely, 2^{2256322166784} is an apocalyptic number.

2256322166784 is a gapful number since it is divisible by the number (24) 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 2256322166784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724773280800).

2256322166784 is an abundant number, since it is smaller than the sum of its proper divisors (5193224394816).

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

2256322166784 is an frugal number, since it uses more digits than its factorization.

2256322166784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68362 (or 68323 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2256322166784 in words is "two trillion, two hundred fifty-six billion, three hundred twenty-two million, one hundred sixty-six thousand, seven hundred eighty-four".