1118784000 has 160 divisors (see below), whose sum is σ = 3720315456. Its totient is φ = 298291200.

The previous prime is 1118783999. The next prime is 1118784013. The reversal of 1118784000 is 4878111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×1118784000⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189087 + ... + 194913.

Almost surely, 2^1118784000 is an apocalyptic number.

1118784000 is a gapful number since it is divisible by the number (10) 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 1118784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860157728).

1118784000 is an abundant number, since it is smaller than the sum of its proper divisors (2601531456).

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

1118784000 is an frugal number, since it uses more digits than its factorization.

1118784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 1118784000 is about 33448.2286526507. The cubic root of 1118784000 is about 1038.1228466024.

The spelling of 1118784000 in words is "one billion, one hundred eighteen million, seven hundred eighty-four thousand".