813288800848 has 40 divisors (see below), whose sum is σ = 1626735802880. Its totient is φ = 393488565120.

The previous prime is 813288800827. The next prime is 813288800869. The reversal of 813288800848 is 848008882318.

It is an interprime number because it is at equal distance from previous prime (813288800827) and next prime (813288800869).

It is a super-2 number, since 2×813288800848² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813288800792 and 813288800801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5405098 + ... + 5553526.

It is an arithmetic number, because the mean of its divisors is an integer number (40668395072).

Almost surely, 2^813288800848 is an apocalyptic number.

It is an amenable number.

813288800848 is an abundant number, since it is smaller than the sum of its proper divisors (813447002032).

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

813288800848 is a wasteful number, since it uses less digits than its factorization.

813288800848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159515 (or 159509 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 58.

The spelling of 813288800848 in words is "eight hundred thirteen billion, two hundred eighty-eight million, eight hundred thousand, eight hundred forty-eight".