8205218810748 has 72 divisors (see below), whose sum is σ = 21964150327392. Its totient is φ = 2573820168192.

The previous prime is 8205218810741. The next prime is 8205218810779. The reversal of 8205218810748 is 8470188125028.

It is a happy number.

8205218810748 is a `hidden beast` number, since 8 + 2 + 0 + 521 + 8 + 8 + 107 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8205218810694 and 8205218810703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205218810741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3368961 + ... + 5268807.

It is an arithmetic number, because the mean of its divisors is an integer number (305057643436).

Almost surely, 2^{8205218810748} is an apocalyptic number.

It is an amenable number.

8205218810748 is an abundant number, since it is smaller than the sum of its proper divisors (13758931516644).

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

8205218810748 is a wasteful number, since it uses less digits than its factorization.

8205218810748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906931 (or 1906926 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 8205218810748 in words is "eight trillion, two hundred five billion, two hundred eighteen million, eight hundred ten thousand, seven hundred forty-eight".