126941683968 has 216 divisors, whose sum is σ = 399667326240. Its totient is φ = 38429614080.

The previous prime is 126941683861. The next prime is 126941683969. The reversal of 126941683968 is 869386149621.

126941683968 is a `hidden beast` number, since 126 + 9 + 416 + 8 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×126941683968² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126941683969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36975180 + ... + 36978612.

Almost surely, 2^126941683968 is an apocalyptic number.

126941683968 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 126941683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199833663120).

126941683968 is an abundant number, since it is smaller than the sum of its proper divisors (272725642272).

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

126941683968 is a wasteful number, since it uses less digits than its factorization.

126941683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4908 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 126941683968 in words is "one hundred twenty-six billion, nine hundred forty-one million, six hundred eighty-three thousand, nine hundred sixty-eight".