1166018304 has 288 divisors, whose sum is σ = 3751017984. Its totient is φ = 317194240.

The previous prime is 1166018297. The next prime is 1166018363. The reversal of 1166018304 is 4038106611.

It is a super-3 number, since 3×1166018304³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3302992 + ... + 3303344.

It is an arithmetic number, because the mean of its divisors is an integer number (13024368).

Almost surely, 2^1166018304 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 1166018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875508992).

1166018304 is an abundant number, since it is smaller than the sum of its proper divisors (2584999680).

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

1166018304 is a wasteful number, since it uses less digits than its factorization.

1166018304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1166018304 is about 34147.0101765879. The cubic root of 1166018304 is about 1052.5315495796.

The spelling of 1166018304 in words is "one billion, one hundred sixty-six million, eighteen thousand, three hundred four".