127835106448217 has 12 divisors (see below), whose sum is σ = 148708769550516. Its totient is φ = 109571013941760.

The previous prime is 127835106448213. The next prime is 127835106448241. The reversal of 127835106448217 is 712844601538721.

It can be written as a sum of positive squares in 2 ways, for example, as 100364551640521 + 27470554807696 = 10018211^2 + 5241236^2 .

It is not a de Polignac number, because 127835106448217 - 2² = 127835106448213 is a prime.

It is a super-2 number, since 2×127835106448217² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127835106448213) 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 11 ways as a sum of consecutive naturals, for example, 20221784 + ... + 25779657.

It is an arithmetic number, because the mean of its divisors is an integer number (12392397462543).

Almost surely, 2^{127835106448217} is an apocalyptic number.

It is an amenable number.

127835106448217 is a deficient number, since it is larger than the sum of its proper divisors (20873663102299).

127835106448217 is an equidigital number, since it uses as much as digits as its factorization.

127835106448217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46058168 (or 46058161 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 127835106448217 in words is "one hundred twenty-seven trillion, eight hundred thirty-five billion, one hundred six million, four hundred forty-eight thousand, two hundred seventeen".