126863941608768 has 896 divisors, whose sum is σ = 428804669440000. Its totient is φ = 32886821560320.

The previous prime is 126863941608743. The next prime is 126863941608773. The reversal of 126863941608768 is 867806149368621.

It is a self number, because there is not a number n which added to its sum of digits gives 126863941608768.

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 127 ways as a sum of consecutive naturals, for example, 15488207553 + ... + 15488215743.

It is an arithmetic number, because the mean of its divisors is an integer number (478576640000).

Almost surely, 2^{126863941608768} 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 126863941608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214402334720000).

126863941608768 is an abundant number, since it is smaller than the sum of its proper divisors (301940727831232).

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

126863941608768 is a wasteful number, since it uses less digits than its factorization.

126863941608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 75.

The spelling of 126863941608768 in words is "one hundred twenty-six trillion, eight hundred sixty-three billion, nine hundred forty-one million, six hundred eight thousand, seven hundred sixty-eight".