1166584716101 has 12 divisors (see below), whose sum is σ = 1357065127980. Its totient is φ = 999916787520.

The previous prime is 1166584716067. The next prime is 1166584716107. The reversal of 1166584716101 is 1016174856611.

It can be written as a sum of positive squares in 2 ways, for example, as 874363385476 + 292221330625 = 935074^2 + 540575^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1166584716101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166584716107) 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, 7217195 + ... + 7377063.

It is an arithmetic number, because the mean of its divisors is an integer number (113088760665).

Almost surely, 2^{1166584716101} is an apocalyptic number.

It is an amenable number.

1166584716101 is a deficient number, since it is larger than the sum of its proper divisors (190480411879).

1166584716101 is a wasteful number, since it uses less digits than its factorization.

1166584716101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308804 (or 308797 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 1166584716101 in words is "one trillion, one hundred sixty-six billion, five hundred eighty-four million, seven hundred sixteen thousand, one hundred one".