126968317776 has 200 divisors, whose sum is σ = 371930194944. Its totient is φ = 41813832960.

The previous prime is 126968317759. The next prime is 126968317783. The reversal of 126968317776 is 677713869621.

It is a super-2 number, since 2×126968317776² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37441041 + ... + 37444431.

Almost surely, 2^126968317776 is an apocalyptic number.

126968317776 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 126968317776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185965097472).

126968317776 is an abundant number, since it is smaller than the sum of its proper divisors (244961877168).

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

126968317776 is a wasteful number, since it uses less digits than its factorization.

126968317776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3736 counting only the distinct ones).

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

The spelling of 126968317776 in words is "one hundred twenty-six billion, nine hundred sixty-eight million, three hundred seventeen thousand, seven hundred seventy-six".