11823112544256 has 672 divisors, whose sum is σ = 37809940371840. Its totient is φ = 3558186418176.

The previous prime is 11823112544237. The next prime is 11823112544359. The reversal of 11823112544256 is 65244521132811.

11823112544256 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 31 + 125 + 442 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7613078776 + ... + 7613080328.

It is an arithmetic number, because the mean of its divisors is an integer number (56264792220).

Almost surely, 2^{11823112544256} is an apocalyptic number.

11823112544256 is a gapful number since it is divisible by the number (16) 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 11823112544256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18904970185920).

11823112544256 is an abundant number, since it is smaller than the sum of its proper divisors (25986827827584).

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

11823112544256 is an equidigital number, since it uses as much as digits as its factorization.

11823112544256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1618 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 11823112544256 in words is "eleven trillion, eight hundred twenty-three billion, one hundred twelve million, five hundred forty-four thousand, two hundred fifty-six".