126866668621 has 64 divisors (see below), whose sum is σ = 171415388160. Its totient is φ = 90873768960.

The previous prime is 126866668613. The next prime is 126866668627.

126866668621 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 126866668621 - 2³ = 126866668613 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126866668627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12120036 + ... + 12130498.

It is an arithmetic number, because the mean of its divisors is an integer number (2678365440).

Almost surely, 2^126866668621 is an apocalyptic number.

126866668621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126866668621 is a deficient number, since it is larger than the sum of its proper divisors (44548719539).

126866668621 is a wasteful number, since it uses less digits than its factorization.

126866668621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10714.

The product of its digits is 11943936, while the sum is 58.

The spelling of 126866668621 in words is "one hundred twenty-six billion, eight hundred sixty-six million, six hundred sixty-eight thousand, six hundred twenty-one".