1166538866688 has 384 divisors, whose sum is σ = 3698295761160. Its totient is φ = 352101335040.

The previous prime is 1166538866677. The next prime is 1166538866699. The reversal of 1166538866688 is 8866688356611.

It is an interprime number because it is at equal distance from previous prime (1166538866677) and next prime (1166538866699).

It can be written as a sum of positive squares in 4 ways, for example, as 923813167104 + 242725699584 = 961152^2 + 492672^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203191498 + ... + 203197238.

Almost surely, 2^{1166538866688} is an apocalyptic number.

1166538866688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166538866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849147880580).

1166538866688 is an abundant number, since it is smaller than the sum of its proper divisors (2531756894472).

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

1166538866688 is an equidigital number, since it uses as much as digits as its factorization.

1166538866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5812 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 1166538866688 in words is "one trillion, one hundred sixty-six billion, five hundred thirty-eight million, eight hundred sixty-six thousand, six hundred eighty-eight".