844806144 has 192 divisors, whose sum is σ = 2773854720. Its totient is φ = 222658560.

The previous prime is 844806071. The next prime is 844806173. The reversal of 844806144 is 441608448.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 558349 + ... + 559859.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2^844806144 is an apocalyptic number.

844806144 is a gapful number since it is divisible by the number (84) 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 844806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

844806144 is an abundant number, since it is smaller than the sum of its proper divisors (1929048576).

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

844806144 is a wasteful number, since it uses less digits than its factorization.

844806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 844806144 is about 29065.5490916652. The cubic root of 844806144 is about 945.3348920838.

It can be divided in two parts, 8448061 and 44, that added together give a triangular number (8448105 = T₄₁₁₀).

The spelling of 844806144 in words is "eight hundred forty-four million, eight hundred six thousand, one hundred forty-four".