12811638528 has 216 divisors, whose sum is σ = 40031780880. Its totient is φ = 3940485120.

The previous prime is 12811638487. The next prime is 12811638529. The reversal of 12811638528 is 82583611821.

12811638528 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 638 + 5 + 2 + 8 = 666.

It is a super-3 number, since 3×12811638528³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811638529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5060623 + ... + 5063153.

Almost surely, 2^12811638528 is an apocalyptic number.

12811638528 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 12811638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015890440).

12811638528 is an abundant number, since it is smaller than the sum of its proper divisors (27220142352).

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

12811638528 is an equidigital number, since it uses as much as digits as its factorization.

12811638528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2549 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 12811638528 in words is "twelve billion, eight hundred eleven million, six hundred thirty-eight thousand, five hundred twenty-eight".