1188159984 has 360 divisors, whose sum is σ = 3992053520. Its totient is φ = 328458240.

The previous prime is 1188159983. The next prime is 1188159991. The reversal of 1188159984 is 4899518811.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1188159984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1188159983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12249024 + ... + 12249120.

Almost surely, 2^1188159984 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 1188159984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996026760).

1188159984 is an abundant number, since it is smaller than the sum of its proper divisors (2803893536).

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

1188159984 is a wasteful number, since it uses less digits than its factorization.

1188159984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its digits is 829440, while the sum is 54.

The square root of 1188159984 is about 34469.6966044089. The cubic root of 1188159984 is about 1059.1520404881.

The spelling of 1188159984 in words is "one billion, one hundred eighty-eight million, one hundred fifty-nine thousand, nine hundred eighty-four".