2217056663127 has 48 divisors (see below), whose sum is σ = 3250172160000. Its totient is φ = 1342423272960.

The previous prime is 2217056663117. The next prime is 2217056663131. The reversal of 2217056663127 is 7213666507122.

It is not a de Polignac number, because 2217056663127 - 2⁷ = 2217056662999 is a prime.

It is a super-2 number, since 2×2217056663127² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217056663117) 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 47 ways as a sum of consecutive naturals, for example, 50238802 + ... + 50282912.

It is an arithmetic number, because the mean of its divisors is an integer number (67711920000).

Almost surely, 2^{2217056663127} is an apocalyptic number.

2217056663127 is a deficient number, since it is larger than the sum of its proper divisors (1033115496873).

2217056663127 is a wasteful number, since it uses less digits than its factorization.

2217056663127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46176 (or 46159 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2217056663127 in words is "two trillion, two hundred seventeen billion, fifty-six million, six hundred sixty-three thousand, one hundred twenty-seven".