1188200448 has 256 divisors, whose sum is σ = 3774816000. Its totient is φ = 368050176.

The previous prime is 1188200417. The next prime is 1188200477. The reversal of 1188200448 is 8440028811.

It is a happy number.

1188200448 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 200 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15040473 + ... + 15040551.

It is an arithmetic number, because the mean of its divisors is an integer number (14745375).

Almost surely, 2^1188200448 is an apocalyptic number.

1188200448 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 1188200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887408000).

1188200448 is an abundant number, since it is smaller than the sum of its proper divisors (2586615552).

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

1188200448 is an frugal number, since it uses more digits than its factorization.

1188200448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1188200448 is about 34470.2835497476. The cubic root of 1188200448 is about 1059.1640638526.

The spelling of 1188200448 in words is "one billion, one hundred eighty-eight million, two hundred thousand, four hundred forty-eight".