844105450659840 has 672 divisors, whose sum is σ = 3105909794900016. Its totient is φ = 211324973875200.

The previous prime is 844105450659733. The next prime is 844105450659847. The reversal of 844105450659840 is 48956054501448.

844105450659840 is a `hidden beast` number, since 8 + 4 + 4 + 1 + 0 + 545 + 0 + 6 + 5 + 9 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 740010608234496 + 104094842425344 = 27203136^2 + 10202688^2 .

It is not an unprimeable number, because it can be changed into a prime (844105450659847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2512850934 + ... + 2513186826.

Almost surely, 2^{844105450659840} is an apocalyptic number.

844105450659840 is a gapful number since it is divisible by the number (80) 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 844105450659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552954897450008).

844105450659840 is an abundant number, since it is smaller than the sum of its proper divisors (2261804344240176).

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

844105450659840 is a wasteful number, since it uses less digits than its factorization.

844105450659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336348 (or 336321 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 844105450659840 in words is "eight hundred forty-four trillion, one hundred five billion, four hundred fifty million, six hundred fifty-nine thousand, eight hundred forty".