126431720216704 has 192 divisors, whose sum is σ = 294812539876800. Its totient is φ = 53850484316160.

The previous prime is 126431720216693. The next prime is 126431720216719. The reversal of 126431720216704 is 407612027134621.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 694363627 + ... + 694545685.

It is an arithmetic number, because the mean of its divisors is an integer number (1535481978525).

Almost surely, 2^{126431720216704} is an apocalyptic number.

126431720216704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126431720216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147406269938400).

126431720216704 is an abundant number, since it is smaller than the sum of its proper divisors (168380819660096).

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

126431720216704 is a wasteful number, since it uses less digits than its factorization.

126431720216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182771 (or 182752 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 126431720216704 in words is "one hundred twenty-six trillion, four hundred thirty-one billion, seven hundred twenty million, two hundred sixteen thousand, seven hundred four".