126805678444224 has 168 divisors, whose sum is σ = 391511928330432. Its totient is φ = 39008414269440.

The previous prime is 126805678444213. The next prime is 126805678444253. The reversal of 126805678444224 is 422444876508621.

126805678444224 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 567 + 8 + 4 + 4 + 42 + 24 = 666.

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, 31664137 + ... + 35443319.

It is an arithmetic number, because the mean of its divisors is an integer number (2330428144824).

Almost surely, 2^{126805678444224} 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 126805678444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195755964165216).

126805678444224 is an abundant number, since it is smaller than the sum of its proper divisors (264706249886208).

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

126805678444224 is a wasteful number, since it uses less digits than its factorization.

126805678444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783695 (or 3783682 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 126805678444224 in words is "one hundred twenty-six trillion, eight hundred five billion, six hundred seventy-eight million, four hundred forty-four thousand, two hundred twenty-four".