126401633176 has 64 divisors (see below), whose sum is σ = 292466361600. Its totient is φ = 49872993408.

The previous prime is 126401633047. The next prime is 126401633177. The reversal of 126401633176 is 671336104621.

126401633176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126401633177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46851 + ... + 504973.

It is an arithmetic number, because the mean of its divisors is an integer number (4569786900).

Almost surely, 2^126401633176 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 126401633176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146233180800).

126401633176 is an abundant number, since it is smaller than the sum of its proper divisors (166064728424).

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

126401633176 is a wasteful number, since it uses less digits than its factorization.

126401633176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458528 (or 458524 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

Adding to 126401633176 its reverse (671336104621), we get a palindrome (797737737797).

The spelling of 126401633176 in words is "one hundred twenty-six billion, four hundred one million, six hundred thirty-three thousand, one hundred seventy-six".