12781431936 has 1280 divisors, whose sum is σ = 53080473600. Its totient is φ = 2956124160.

The previous prime is 12781431911. The next prime is 12781431941. The reversal of 12781431936 is 63913418721.

12781431936 is a `hidden beast` number, since 127 + 8 + 1 + 431 + 93 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12781431891 and 12781431900.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 412304241 + ... + 412304271.

It is an arithmetic number, because the mean of its divisors is an integer number (41469120).

Almost surely, 2^12781431936 is an apocalyptic number.

12781431936 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 12781431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26540236800).

12781431936 is an abundant number, since it is smaller than the sum of its proper divisors (40299041664).

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

12781431936 is a wasteful number, since it uses less digits than its factorization.

12781431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 12781431936 in words is "twelve billion, seven hundred eighty-one million, four hundred thirty-one thousand, nine hundred thirty-six".