845533724112 has 600 divisors, whose sum is σ = 3156632864352. Its totient is φ = 216007948800.

The previous prime is 845533724089. The next prime is 845533724179. The reversal of 845533724112 is 211427335548.

845533724112 is a `hidden beast` number, since 8 + 4 + 5 + 533 + 72 + 41 + 1 + 2 = 666.

It is a super-2 number, since 2×845533724112² (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 (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42601263 + ... + 42621105.

Almost surely, 2^845533724112 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 845533724112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578316432176).

845533724112 is an abundant number, since it is smaller than the sum of its proper divisors (2311099140240).

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

845533724112 is a wasteful number, since it uses less digits than its factorization.

845533724112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19949 (or 19927 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 845533724112 in words is "eight hundred forty-five billion, five hundred thirty-three million, seven hundred twenty-four thousand, one hundred twelve".