126680908644 has 144 divisors (see below), whose sum is σ = 337252930560. Its totient is φ = 40044533760.

The previous prime is 126680908637. The next prime is 126680908661. The reversal of 126680908644 is 446809086621.

126680908644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126680908644² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11217969 + ... + 11229255.

It is an arithmetic number, because the mean of its divisors is an integer number (2342034240).

Almost surely, 2^126680908644 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 126680908644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168626465280).

126680908644 is an abundant number, since it is smaller than the sum of its proper divisors (210572021916).

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

126680908644 is a wasteful number, since it uses less digits than its factorization.

126680908644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 126680908644 in words is "one hundred twenty-six billion, six hundred eighty million, nine hundred eight thousand, six hundred forty-four".