126803113224864 has 384 divisors, whose sum is σ = 344463114240000. Its totient is φ = 40827321335808.

The previous prime is 126803113224841. The next prime is 126803113224937. The reversal of 126803113224864 is 468422311308621.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41049889432 + ... + 41049892520.

It is an arithmetic number, because the mean of its divisors is an integer number (897039360000).

Almost surely, 2^{126803113224864} 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 126803113224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172231557120000).

126803113224864 is an abundant number, since it is smaller than the sum of its proper divisors (217660001015136).

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

126803113224864 is a wasteful number, since it uses less digits than its factorization.

126803113224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 126803113224864 in words is "one hundred twenty-six trillion, eight hundred three billion, one hundred thirteen million, two hundred twenty-four thousand, eight hundred sixty-four".