813844228512 has 288 divisors, whose sum is σ = 2556999990720. Its totient is φ = 225852641280.

The previous prime is 813844228423. The next prime is 813844228513. The reversal of 813844228512 is 215822448318.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (813844228513) 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, 44156643 + ... + 44175069.

It is an arithmetic number, because the mean of its divisors is an integer number (8878472190).

Almost surely, 2^813844228512 is an apocalyptic number.

813844228512 is a gapful number since it is divisible by the number (82) 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 813844228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278499995360).

813844228512 is an abundant number, since it is smaller than the sum of its proper divisors (1743155762208).

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

813844228512 is a wasteful number, since it uses less digits than its factorization.

813844228512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18724 (or 18709 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The spelling of 813844228512 in words is "eight hundred thirteen billion, eight hundred forty-four million, two hundred twenty-eight thousand, five hundred twelve".