852499274112 has 192 divisors, whose sum is σ = 2584773126000. Its totient is φ = 268949237760.

The previous prime is 852499274071. The next prime is 852499274129. The reversal of 852499274112 is 211472994258.

852499274112 is a `hidden beast` number, since 8 + 524 + 99 + 27 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×852499274112² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 23204814 + ... + 23241522.

Almost surely, 2^852499274112 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 852499274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292386563000).

852499274112 is an abundant number, since it is smaller than the sum of its proper divisors (1732273851888).

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

852499274112 is a wasteful number, since it uses less digits than its factorization.

852499274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37809 (or 37794 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 852499274112 in words is "eight hundred fifty-two billion, four hundred ninety-nine million, two hundred seventy-four thousand, one hundred twelve".