12833622048 has 576 divisors, whose sum is σ = 42500505600. Its totient is φ = 3364208640.

The previous prime is 12833622047. The next prime is 12833622071. The reversal of 12833622048 is 84022633821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12833621997 and 12833622015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12833622047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162450873 + ... + 162450951.

It is an arithmetic number, because the mean of its divisors is an integer number (73785600).

Almost surely, 2^12833622048 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 12833622048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250252800).

12833622048 is an abundant number, since it is smaller than the sum of its proper divisors (29666883552).

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

12833622048 is a wasteful number, since it uses less digits than its factorization.

12833622048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12833622048 in words is "twelve billion, eight hundred thirty-three million, six hundred twenty-two thousand, forty-eight".