1166472216 has 192 divisors, whose sum is σ = 4014366720. Its totient is φ = 297665280.

The previous prime is 1166472169. The next prime is 1166472233. The reversal of 1166472216 is 6122746611.

1166472216 = T₄₆₆ + T₄₆₇ + ... + T₁₉₂₁.

1166472216 is a `hidden beast` number, since 1 + 1 + 6 + 647 + 2 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 200241 + ... + 205983.

It is an arithmetic number, because the mean of its divisors is an integer number (20908160).

Almost surely, 2^1166472216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166472216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007183360).

1166472216 is an abundant number, since it is smaller than the sum of its proper divisors (2847894504).

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

1166472216 is a wasteful number, since it uses less digits than its factorization.

1166472216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5799 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1166472216 is about 34153.6559682854. The cubic root of 1166472216 is about 1052.6681096771.

The spelling of 1166472216 in words is "one billion, one hundred sixty-six million, four hundred seventy-two thousand, two hundred sixteen".