853220944224 has 480 divisors, whose sum is σ = 2792184151680. Its totient is φ = 253406361600.

The previous prime is 853220944207. The next prime is 853220944229. The reversal of 853220944224 is 422449022358.

853220944224 is a `hidden beast` number, since 8 + 532 + 2 + 0 + 94 + 4 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 853220944224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853220944229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 825963612 + ... + 825964644.

It is an arithmetic number, because the mean of its divisors is an integer number (5817050316).

Almost surely, 2^853220944224 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 853220944224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396092075840).

853220944224 is an abundant number, since it is smaller than the sum of its proper divisors (1938963207456).

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

853220944224 is a wasteful number, since it uses less digits than its factorization.

853220944224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 853220944224 in words is "eight hundred fifty-three billion, two hundred twenty million, nine hundred forty-four thousand, two hundred twenty-four".