845949312 has 256 divisors, whose sum is σ = 2833152000. Its totient is φ = 246343680.

The previous prime is 845949311. The next prime is 845949329. The reversal of 845949312 is 213949548.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845949311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 853137 + ... + 854127.

It is an arithmetic number, because the mean of its divisors is an integer number (11067000).

Almost surely, 2^845949312 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 845949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416576000).

845949312 is an abundant number, since it is smaller than the sum of its proper divisors (1987202688).

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

845949312 is a wasteful number, since it uses less digits than its factorization.

845949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1028 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 845949312 is about 29085.2077867771. The cubic root of 845949312 is about 945.7611001256.

The spelling of 845949312 in words is "eight hundred forty-five million, nine hundred forty-nine thousand, three hundred twelve".