852434416992 has 96 divisors (see below), whose sum is σ = 2248253280000. Its totient is φ = 282797987328.

The previous prime is 852434416957. The next prime is 852434417089. The reversal of 852434416992 is 299614434258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99127509 + ... + 99136107.

It is an arithmetic number, because the mean of its divisors is an integer number (23419305000).

Almost surely, 2^852434416992 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 852434416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124126640000).

852434416992 is an abundant number, since it is smaller than the sum of its proper divisors (1395818863008).

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

852434416992 is a wasteful number, since it uses less digits than its factorization.

852434416992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13388 (or 13380 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 852434416992 in words is "eight hundred fifty-two billion, four hundred thirty-four million, four hundred sixteen thousand, nine hundred ninety-two".