809455223808 has 1056 divisors, whose sum is σ = 3064360965120. Its totient is φ = 207306915840.

The previous prime is 809455223767. The next prime is 809455223821. The reversal of 809455223808 is 808322554908.

It is a happy number.

809455223808 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 552 + 2 + 3 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1590285058 + ... + 1590285566.

Almost surely, 2^809455223808 is an apocalyptic number.

809455223808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809455223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532180482560).

809455223808 is an abundant number, since it is smaller than the sum of its proper divisors (2254905741312).

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

809455223808 is a wasteful number, since it uses less digits than its factorization.

809455223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 809455223808 in words is "eight hundred nine billion, four hundred fifty-five million, two hundred twenty-three thousand, eight hundred eight".