12811340736 has 168 divisors, whose sum is σ = 38016427904. Its totient is φ = 4120657920.

The previous prime is 12811340671. The next prime is 12811340819. The reversal of 12811340736 is 63704311821.

It is a happy number.

12811340736 is a `hidden beast` number, since 1 + 281 + 1 + 340 + 7 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12811340736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7730820 + ... + 7732476.

Almost surely, 2^12811340736 is an apocalyptic number.

12811340736 is a gapful number since it is divisible by the number (16) 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 12811340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008213952).

12811340736 is an abundant number, since it is smaller than the sum of its proper divisors (25205087168).

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

12811340736 is a wasteful number, since it uses less digits than its factorization.

12811340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12811340736 in words is "twelve billion, eight hundred eleven million, three hundred forty thousand, seven hundred thirty-six".