12719736346968 has 256 divisors, whose sum is σ = 40639598208000. Its totient is φ = 3610890980352.

The previous prime is 12719736346949. The next prime is 12719736346987. The reversal of 12719736346968 is 86964363791721.

12719736346968 is a `hidden beast` number, since 1 + 2 + 7 + 197 + 3 + 6 + 346 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12719736346949) and next prime (12719736346987).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 = 12719736346896 and 12719736346905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334772580 + ... + 334810572.

It is an arithmetic number, because the mean of its divisors is an integer number (158748430500).

Almost surely, 2^{12719736346968} is an apocalyptic number.

12719736346968 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 12719736346968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20319799104000).

12719736346968 is an abundant number, since it is smaller than the sum of its proper divisors (27919861861032).

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

12719736346968 is a wasteful number, since it uses less digits than its factorization.

12719736346968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39431 (or 39421 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 12719736346968 in words is "twelve trillion, seven hundred nineteen billion, seven hundred thirty-six million, three hundred forty-six thousand, nine hundred sixty-eight".