808033275648 has 432 divisors, whose sum is σ = 2414591262720. Its totient is φ = 259771539456.

The previous prime is 808033275619. The next prime is 808033275649. The reversal of 808033275648 is 846572330808.

It is a junction number, because it is equal to n+sod(n) for n = 808033275594 and 808033275603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808033275649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2109747265 + ... + 2109747647.

Almost surely, 2^808033275648 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 808033275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207295631360).

808033275648 is an abundant number, since it is smaller than the sum of its proper divisors (1606557987072).

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

808033275648 is a wasteful number, since it uses less digits than its factorization.

808033275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 808033 and 275648, that added together give a square (1083681 = 1041²).

The spelling of 808033275648 in words is "eight hundred eight billion, thirty-three million, two hundred seventy-five thousand, six hundred forty-eight".