1166584716100 has 18 divisors (see below), whose sum is σ = 2531488834154. Its totient is φ = 466633886400.

The previous prime is 1166584716067. The next prime is 1166584716107. The reversal of 1166584716100 is 16174856611.

It can be written as a sum of positive squares in 3 ways, for example, as 106162582276 + 1060422133824 = 325826^2 + 1029768^2 .

It is not an unprimeable number, because it can be changed into a prime (1166584716107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5832923481 + ... + 5832923680.

Almost surely, 2^{1166584716100} is an apocalyptic number.

1166584716100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166584716100 is an abundant number, since it is smaller than the sum of its proper divisors (1364904118054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1166584716100 is a wasteful number, since it uses less digits than its factorization.

1166584716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665847175 (or 11665847168 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 1166584716100 in words is "one trillion, one hundred sixty-six billion, five hundred eighty-four million, seven hundred sixteen thousand, one hundred".