12838146048 has 624 divisors, whose sum is σ = 47227340160. Its totient is φ = 3269984256.

The previous prime is 12838146047. The next prime is 12838146059. The reversal of 12838146048 is 84064183821.

12838146048 is a `hidden beast` number, since 1 + 2 + 8 + 38 + 1 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 12838145994 and 12838146012.

It is not an unprimeable number, because it can be changed into a prime (12838146047) 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, 144248788 + ... + 144248876.

It is an arithmetic number, because the mean of its divisors is an integer number (75684840).

Almost surely, 2^12838146048 is an apocalyptic number.

12838146048 is a gapful number since it is divisible by the number (18) 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 12838146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23613670080).

12838146048 is an abundant number, since it is smaller than the sum of its proper divisors (34389194112).

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

12838146048 is a wasteful number, since it uses less digits than its factorization.

12838146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12838146048 in words is "twelve billion, eight hundred thirty-eight million, one hundred forty-six thousand, forty-eight".