126791350228224 has 216 divisors, whose sum is σ = 398824186051200. Its totient is φ = 38419717201920.

The previous prime is 126791350228183. The next prime is 126791350228237. The reversal of 126791350228224 is 422822053197621.

It is a happy number.

126791350228224 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 9 + 1 + 350 + 2 + 282 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561484812 + ... + 561710580.

It is a 1-persistent number, because it is pandigital, but 2⋅126791350228224 = 253582700456448 is not.

Almost surely, 2^{126791350228224} 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 126791350228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199412093025600).

126791350228224 is an abundant number, since it is smaller than the sum of its proper divisors (272032835822976).

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

126791350228224 is a wasteful number, since it uses less digits than its factorization.

126791350228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247961 (or 247944 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 126791350228224 in words is "one hundred twenty-six trillion, seven hundred ninety-one billion, three hundred fifty million, two hundred twenty-eight thousand, two hundred twenty-four".