852146514432 has 160 divisors (see below), whose sum is σ = 2523672581760. Its totient is φ = 283906990080.

The previous prime is 852146514397. The next prime is 852146514437. The reversal of 852146514432 is 234415641258.

852146514432 is a `hidden beast` number, since 8 + 52 + 1 + 46 + 514 + 43 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (852146514437) by changing a digit.

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, 29748757 + ... + 29777387.

It is an arithmetic number, because the mean of its divisors is an integer number (15772953636).

Almost surely, 2^852146514432 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 852146514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261836290880).

852146514432 is an abundant number, since it is smaller than the sum of its proper divisors (1671526067328).

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

852146514432 is a wasteful number, since it uses less digits than its factorization.

852146514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30811 (or 30789 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 852146514432 in words is "eight hundred fifty-two billion, one hundred forty-six million, five hundred fourteen thousand, four hundred thirty-two".