823879854336 has 864 divisors, whose sum is σ = 2931303997440. Its totient is φ = 200635269120.

The previous prime is 823879854319. The next prime is 823879854349. The reversal of 823879854336 is 633458978328.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792954105 + ... + 792955143.

It is an arithmetic number, because the mean of its divisors is an integer number (3392712960).

Almost surely, 2^823879854336 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 823879854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465651998720).

823879854336 is an abundant number, since it is smaller than the sum of its proper divisors (2107424143104).

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

823879854336 is a wasteful number, since it uses less digits than its factorization.

823879854336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1138 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 823879854336 in words is "eight hundred twenty-three billion, eight hundred seventy-nine million, eight hundred fifty-four thousand, three hundred thirty-six".