12811806144 has 168 divisors, whose sum is σ = 37139178960. Its totient is φ = 4222513152.

The previous prime is 12811806131. The next prime is 12811806181. The reversal of 12811806144 is 44160811821.

12811806144 is a `hidden beast` number, since 1 + 28 + 1 + 18 + 0 + 614 + 4 = 666.

12811806144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12811806144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12811806099 and 12811806108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32271354 + ... + 32271750.

Almost surely, 2^12811806144 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 12811806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18569589480).

12811806144 is an abundant number, since it is smaller than the sum of its proper divisors (24327372816).

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

12811806144 is a wasteful number, since it uses less digits than its factorization.

12811806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12811806144 in words is "twelve billion, eight hundred eleven million, eight hundred six thousand, one hundred forty-four".