844236890112 has 1344 divisors, whose sum is σ = 3175682817024. Its totient is φ = 196199055360.

The previous prime is 844236890069. The next prime is 844236890117. The reversal of 844236890112 is 211098632448.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (844236890117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5179367343 + ... + 5179367505.

Almost surely, 2^844236890112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844236890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587841408512).

844236890112 is an abundant number, since it is smaller than the sum of its proper divisors (2331445926912).

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

844236890112 is a wasteful number, since it uses less digits than its factorization.

844236890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 844236890112 in words is "eight hundred forty-four billion, two hundred thirty-six million, eight hundred ninety thousand, one hundred twelve".