845864712 has 192 divisors, whose sum is σ = 2871797760. Its totient is φ = 218505600.

The previous prime is 845864711. The next prime is 845864741. The reversal of 845864712 is 217468548.

845864712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×845864712² = 1430974222013685888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (845864711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1502143 + ... + 1502705.

It is an arithmetic number, because the mean of its divisors is an integer number (14957280).

Almost surely, 2^845864712 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 845864712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435898880).

845864712 is an abundant number, since it is smaller than the sum of its proper divisors (2025933048).

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

845864712 is a wasteful number, since it uses less digits than its factorization.

845864712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 845864712 is about 29083.7534028880. The cubic root of 845864712 is about 945.7295718156.

It can be divided in two parts, 84586 and 4712, that added together give a palindrome (89298).

The spelling of 845864712 in words is "eight hundred forty-five million, eight hundred sixty-four thousand, seven hundred twelve".