1166116506164 has 48 divisors (see below), whose sum is σ = 2202297081600. Its totient is φ = 538458969600.

The previous prime is 1166116506161. The next prime is 1166116506167. The reversal of 1166116506164 is 4616056116611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1166116506161) and next prime (1166116506167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166116506161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3683792 + ... + 3987800.

It is an arithmetic number, because the mean of its divisors is an integer number (45881189200).

Almost surely, 2^{1166116506164} is an apocalyptic number.

It is an amenable number.

1166116506164 is a deficient number, since it is larger than the sum of its proper divisors (1036180575436).

1166116506164 is a wasteful number, since it uses less digits than its factorization.

1166116506164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305304 (or 305302 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 1166116506164 in words is "one trillion, one hundred sixty-six billion, one hundred sixteen million, five hundred six thousand, one hundred sixty-four".