1166170782168 has 768 divisors, whose sum is σ = 4124390400000. Its totient is φ = 289916928000.

The previous prime is 1166170782163. The next prime is 1166170782317. The reversal of 1166170782168 is 8612870716611.

1166170782168 is a `hidden beast` number, since 1 + 1 + 6 + 617 + 0 + 7 + 8 + 2 + 16 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166170782163) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777965083 + ... + 777966581.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300000).

Almost surely, 2^{1166170782168} is an apocalyptic number.

1166170782168 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 1166170782168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200000).

1166170782168 is an abundant number, since it is smaller than the sum of its proper divisors (2958219617832).

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

1166170782168 is a wasteful number, since it uses less digits than its factorization.

1166170782168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1166170782168 in words is "one trillion, one hundred sixty-six billion, one hundred seventy million, seven hundred eighty-two thousand, one hundred sixty-eight".