844461075456 has 220 divisors, whose sum is σ = 2564481845640. Its totient is φ = 276714455040.

The previous prime is 844461075449. The next prime is 844461075461. The reversal of 844461075456 is 654570164448.

844461075456 is a `hidden beast` number, since 8 + 44 + 46 + 10 + 7 + 545 + 6 = 666.

It is a super-2 number, since 2×844461075456² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4807416 + ... + 4979976.

It is an arithmetic number, because the mean of its divisors is an integer number (11656735662).

Almost surely, 2^844461075456 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 844461075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282240922820).

844461075456 is an abundant number, since it is smaller than the sum of its proper divisors (1720020770184).

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

844461075456 is a wasteful number, since it uses less digits than its factorization.

844461075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172652 (or 172625 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 844461075456 in words is "eight hundred forty-four billion, four hundred sixty-one million, seventy-five thousand, four hundred fifty-six".