844065112320 has 864 divisors, whose sum is σ = 3155490898560. Its totient is φ = 207559065600.

The previous prime is 844065112313. The next prime is 844065112367. The reversal of 844065112320 is 23211560448.

It is a happy number.

844065112320 is a `hidden beast` number, since 8 + 4 + 406 + 5 + 11 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2749397607 + ... + 2749397913.

It is an arithmetic number, because the mean of its divisors is an integer number (3652188540).

Almost surely, 2^844065112320 is an apocalyptic number.

844065112320 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 844065112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577745449280).

844065112320 is an abundant number, since it is smaller than the sum of its proper divisors (2311425786240).

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

844065112320 is a wasteful number, since it uses less digits than its factorization.

844065112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 844065112320 its reverse (23211560448), we get a palindrome (867276672768).

The spelling of 844065112320 in words is "eight hundred forty-four billion, sixty-five million, one hundred twelve thousand, three hundred twenty".