126948907008 has 576 divisors, whose sum is σ = 477121881600. Its totient is φ = 31531991040.

The previous prime is 126948906991. The next prime is 126948907021. The reversal of 126948907008 is 800709849621.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×126948907008² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32641128 + ... + 32645016.

It is an arithmetic number, because the mean of its divisors is an integer number (828336600).

Almost surely, 2^126948907008 is an apocalyptic number.

126948907008 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 126948907008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238560940800).

126948907008 is an abundant number, since it is smaller than the sum of its proper divisors (350172974592).

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

126948907008 is a wasteful number, since it uses less digits than its factorization.

126948907008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 126948907008 in words is "one hundred twenty-six billion, nine hundred forty-eight million, nine hundred seven thousand, eight".