12796771912344 has 1248 divisors, whose sum is σ = 45638104978800. Its totient is φ = 3342721374720.

The previous prime is 12796771912273. The next prime is 12796771912361. The reversal of 12796771912344 is 44321917769721.

It is a happy number.

12796771912344 is a `hidden beast` number, since 1 + 279 + 6 + 7 + 7 + 1 + 9 + 12 + 344 = 666.

12796771912344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (32006016) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 311 ways as a sum of consecutive naturals, for example, 209783146074 + ... + 209783146134.

Almost surely, 2^{12796771912344} is an apocalyptic number.

12796771912344 is a gapful number since it is divisible by the number (14) 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 12796771912344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819052489400).

12796771912344 is an abundant number, since it is smaller than the sum of its proper divisors (32841333066456).

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

12796771912344 is an frugal number, since it uses more digits than its factorization.

12796771912344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 145 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 12796771912344 in words is "twelve trillion, seven hundred ninety-six billion, seven hundred seventy-one million, nine hundred twelve thousand, three hundred forty-four".