216566611165667 has 48 divisors (see below), whose sum is σ = 257268769192512. Its totient is φ = 181728596044800.

The previous prime is 216566611165661. The next prime is 216566611165673. The reversal of 216566611165667 is 766561116665612.

It is an interprime number because it is at equal distance from previous prime (216566611165661) and next prime (216566611165673).

It is not a de Polignac number, because 216566611165667 - 2²⁶ = 216566544056803 is a prime.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (216566611165661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5562526733 + ... + 5562565665.

It is an arithmetic number, because the mean of its divisors is an integer number (5359766024844).

Almost surely, 2^{216566611165667} is an apocalyptic number.

216566611165667 is a deficient number, since it is larger than the sum of its proper divisors (40702158026845).

216566611165667 is a wasteful number, since it uses less digits than its factorization.

216566611165667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50508 (or 50501 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 65.

Subtracting 216566611165667 from its reverse (766561116665612), we obtain a palindrome (549994505499945).

The spelling of 216566611165667 in words is "two hundred sixteen trillion, five hundred sixty-six billion, six hundred eleven million, one hundred sixty-five thousand, six hundred sixty-seven".