845646336 has 240 divisors, whose sum is σ = 2604476160. Its totient is φ = 263577600.

The previous prime is 845646271. The next prime is 845646341. The reversal of 845646336 is 633646548.

845646336 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 4 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 845646291 and 845646300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8372686 + ... + 8372786.

It is an arithmetic number, because the mean of its divisors is an integer number (10851984).

Almost surely, 2^845646336 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 845646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302238080).

845646336 is an abundant number, since it is smaller than the sum of its proper divisors (1758829824).

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

845646336 is a wasteful number, since it uses less digits than its factorization.

845646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 845646336 is about 29079.9988995873. The cubic root of 845646336 is about 945.6481788090.

The spelling of 845646336 in words is "eight hundred forty-five million, six hundred forty-six thousand, three hundred thirty-six".