845852112 has 240 divisors, whose sum is σ = 2917670400. Its totient is φ = 233694720.

The previous prime is 845852107. The next prime is 845852123. The reversal of 845852112 is 211258548.

845852112 is a `hidden beast` number, since 84 + 58 + 521 + 1 + 2 = 666.

845852112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655564 + ... + 656852.

It is an arithmetic number, because the mean of its divisors is an integer number (12156960).

Almost surely, 2^845852112 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 845852112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458835200).

845852112 is an abundant number, since it is smaller than the sum of its proper divisors (2071818288).

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

845852112 is a wasteful number, since it uses less digits than its factorization.

845852112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1332 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 845852112 is about 29083.5367862989. The cubic root of 845852112 is about 945.7248759300.

The spelling of 845852112 in words is "eight hundred forty-five million, eight hundred fifty-two thousand, one hundred twelve".