818645304960 has 672 divisors, whose sum is σ = 3413428179300. Its totient is φ = 187113701376.

The previous prime is 818645304929. The next prime is 818645304989. The reversal of 818645304960 is 69403546818.

818645304960 is a `hidden beast` number, since 8 + 1 + 8 + 6 + 4 + 530 + 49 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 814802296896 + 3843008064 = 902664^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 818645304897 and 818645304906.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22843536 + ... + 22879344.

Almost surely, 2^818645304960 is an apocalyptic number.

818645304960 is a gapful number since it is divisible by the number (80) 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 818645304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706714089650).

818645304960 is an abundant number, since it is smaller than the sum of its proper divisors (2594782874340).

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

818645304960 is an equidigital number, since it uses as much as digits as its factorization.

818645304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35860 (or 35826 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 818645304960 in words is "eight hundred eighteen billion, six hundred forty-five million, three hundred four thousand, nine hundred sixty".