844724081037312 has 1664 divisors, whose sum is σ = 3099759158476800. Its totient is φ = 222077710761984.

The previous prime is 844724081037307. The next prime is 844724081037313. The reversal of 844724081037312 is 213730180427448.

It is a happy number.

844724081037312 is a `hidden beast` number, since 8 + 4 + 4 + 7 + 240 + 8 + 10 + 373 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (844724081037313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58632885213 + ... + 58632899619.

Almost surely, 2^{844724081037312} 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 844724081037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549879579238400).

844724081037312 is an abundant number, since it is smaller than the sum of its proper divisors (2255035077439488).

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

844724081037312 is a wasteful number, since it uses less digits than its factorization.

844724081037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14596 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 844724081037312 in words is "eight hundred forty-four trillion, seven hundred twenty-four billion, eighty-one million, thirty-seven thousand, three hundred twelve".