845618256 has 240 divisors, whose sum is σ = 2893862400. Its totient is φ = 225130752.

The previous prime is 845618243. The next prime is 845618269. The reversal of 845618256 is 652816548.

845618256 is a `hidden beast` number, since 8 + 4 + 5 + 618 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (845618243) and next prime (845618269).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282855 + ... + 1283513.

It is an arithmetic number, because the mean of its divisors is an integer number (12057760).

Almost surely, 2^845618256 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 845618256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446931200).

845618256 is an abundant number, since it is smaller than the sum of its proper divisors (2048244144).

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

845618256 is a wasteful number, since it uses less digits than its factorization.

845618256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 845618256 is about 29079.5160895088. The cubic root of 845618256 is about 945.6377118271.

The spelling of 845618256 in words is "eight hundred forty-five million, six hundred eighteen thousand, two hundred fifty-six".