126768138448896 has 1040 divisors, whose sum is σ = 461209182278400. Its totient is φ = 34311814742016.

The previous prime is 126768138448879. The next prime is 126768138448921. The reversal of 126768138448896 is 698844831867621.

126768138448896 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 81 + 3 + 8 + 448 + 8 + 96 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 5045083885 + ... + 5045109011.

Almost surely, 2^{126768138448896} is an apocalyptic number.

126768138448896 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 126768138448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230604591139200).

126768138448896 is an abundant number, since it is smaller than the sum of its proper divisors (334441043829504).

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

126768138448896 is an frugal number, since it uses more digits than its factorization.

126768138448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25207 (or 25158 counting only the distinct ones).

The product of its digits is 5350883328, while the sum is 81.

The spelling of 126768138448896 in words is "one hundred twenty-six trillion, seven hundred sixty-eight billion, one hundred thirty-eight million, four hundred forty-eight thousand, eight hundred ninety-six".