1806826144896 has 960 divisors, whose sum is σ = 5865135619200. Its totient is φ = 551600824320.

The previous prime is 1806826144789. The next prime is 1806826144933. The reversal of 1806826144896 is 6984416286081.

1806826144896 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 8 + 2 + 614 + 4 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22871216985 + ... + 22871217063.

It is an arithmetic number, because the mean of its divisors is an integer number (6109516270).

Almost surely, 2^{1806826144896} is an apocalyptic number.

1806826144896 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 1806826144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932567809600).

1806826144896 is an abundant number, since it is smaller than the sum of its proper divisors (4058309474304).

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

1806826144896 is an equidigital number, since it uses as much as digits as its factorization.

1806826144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 1806826144896 in words is "one trillion, eight hundred six billion, eight hundred twenty-six million, one hundred forty-four thousand, eight hundred ninety-six".