844499932416 has 432 divisors, whose sum is σ = 2997372618240. Its totient is φ = 223267000320.

The previous prime is 844499932379. The next prime is 844499932439. The reversal of 844499932416 is 614239994448.

844499932416 is a `hidden beast` number, since 8 + 4 + 44 + 99 + 93 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13144531 + ... + 13208621.

Almost surely, 2^844499932416 is an apocalyptic number.

844499932416 is a gapful number since it is divisible by the number (86) 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 844499932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498686309120).

844499932416 is an abundant number, since it is smaller than the sum of its proper divisors (2152872685824).

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

844499932416 is a wasteful number, since it uses less digits than its factorization.

844499932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64182 (or 64165 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 844499932416 in words is "eight hundred forty-four billion, four hundred ninety-nine million, nine hundred thirty-two thousand, four hundred sixteen".