126617203409761 has 3 divisors (see below), whose sum is σ = 126617214662193. Its totient is φ = 126617192157330.

The previous prime is 126617203409759. The next prime is 126617203409771. The reversal of 126617203409761 is 167904302716621.

The square root of 126617203409761 is 11252431.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 126617203409761 - 2¹ = 126617203409759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126617203409731) 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 2 ways as a sum of consecutive naturals, for example, 5626216 + ... + 16878646.

It is an arithmetic number, because the mean of its divisors is an integer number (42205738220731).

Almost surely, 2^{126617203409761} is an apocalyptic number.

126617203409761 is the 11252431-st square number.

126617203409761 is the 5626216-th centered octagonal number.

It is an amenable number.

126617203409761 is a deficient number, since it is larger than the sum of its proper divisors (11252432).

126617203409761 is an frugal number, since it uses more digits than its factorization.

126617203409761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22504862 (or 11252431 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 126617203409761 in words is "one hundred twenty-six trillion, six hundred seventeen billion, two hundred three million, four hundred nine thousand, seven hundred sixty-one".