813448822784 has 304 divisors, whose sum is σ = 1955380795200. Its totient is φ = 334302806016.

The previous prime is 813448822777. The next prime is 813448822787. The reversal of 813448822784 is 487228844318.

It is a tau number, because it is divible by the number of its divisors (304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813448822787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100742287 + ... + 1100743025.

Almost surely, 2^813448822784 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 813448822784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977690397600).

813448822784 is an abundant number, since it is smaller than the sum of its proper divisors (1141931972416).

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

813448822784 is an equidigital number, since it uses as much as digits as its factorization.

813448822784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 790 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 59.

The spelling of 813448822784 in words is "eight hundred thirteen billion, four hundred forty-eight million, eight hundred twenty-two thousand, seven hundred eighty-four".