853382285312 has 108 divisors (see below), whose sum is σ = 1730507511915. Its totient is φ = 420733812736.

The previous prime is 853382285213. The next prime is 853382285363. The reversal of 853382285312 is 213582283358.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 152987370496 + 700394914816 = 391136^2 + 836896^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=653216.

It is a super-2 number, since 2×853382285312² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (2764800) is a multiple of the sum of its prime divisors (288).

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 8 ways as a sum of consecutive naturals, for example, 5727397814 + ... + 5727397962.

Almost surely, 2^853382285312 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 853382285312

853382285312 is an abundant number, since it is smaller than the sum of its proper divisors (877125226603).

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

853382285312 is an frugal number, since it uses more digits than its factorization.

853382285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 288 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 50.

Multiplying 853382285312 by its sum of digits (50), we get a square (42669114265600 = 6532160²).

The spelling of 853382285312 in words is "eight hundred fifty-three billion, three hundred eighty-two million, two hundred eighty-five thousand, three hundred twelve".