805144470460200 has 384 divisors, whose sum is σ = 2986945685740800. Its totient is φ = 198166752322560.

The previous prime is 805144470460177. The next prime is 805144470460249. The reversal of 805144470460200 is 2064074441508.

805144470460200 is a `hidden beast` number, since 8 + 0 + 5 + 144 + 47 + 0 + 460 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617600254 + ... + 618902546.

It is an arithmetic number, because the mean of its divisors is an integer number (7778504389950).

Almost surely, 2^{805144470460200} 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 805144470460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493472842870400).

805144470460200 is an abundant number, since it is smaller than the sum of its proper divisors (2181801215280600).

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

805144470460200 is a wasteful number, since it uses less digits than its factorization.

805144470460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311138 (or 1311123 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 805144470460200 in words is "eight hundred five trillion, one hundred forty-four billion, four hundred seventy million, four hundred sixty thousand, two hundred".