126171864906849 has 10 divisors (see below), whose sum is σ = 188478958688130. Its totient is φ = 84114576604512.

The previous prime is 126171864906827. The next prime is 126171864906851. The reversal of 126171864906849 is 948609468171621.

126171864906849 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 71 + 8 + 6 + 490 + 68 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103841561911824 + 22330302995025 = 10190268^2 + 4725495^2 .

It is not a de Polignac number, because 126171864906849 - 2⁷ = 126171864906721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126171864906049) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 778838672184 + ... + 778838672345.

It is an arithmetic number, because the mean of its divisors is an integer number (18847895868813).

Almost surely, 2^{126171864906849} is an apocalyptic number.

It is an amenable number.

126171864906849 is a deficient number, since it is larger than the sum of its proper divisors (62307093781281).

126171864906849 is an equidigital number, since it uses as much as digits as its factorization.

126171864906849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557677344541 (or 1557677344532 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 126171864906849 in words is "one hundred twenty-six trillion, one hundred seventy-one billion, eight hundred sixty-four million, nine hundred six thousand, eight hundred forty-nine".