1116304809984 has 1680 divisors, whose sum is σ = 4429347199200. Its totient is φ = 276908212224.

The previous prime is 1116304809979. The next prime is 1116304810009. The reversal of 1116304809984 is 4899084036111.

1116304809984 is a `hidden beast` number, since 1 + 11 + 63 + 0 + 480 + 9 + 98 + 4 = 666.

It is a super-2 number, since 2×1116304809984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1116304809984.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8030969787 + ... + 8030969925.

It is an arithmetic number, because the mean of its divisors is an integer number (2636516190).

Almost surely, 2^{1116304809984} is an apocalyptic number.

1116304809984 is a gapful number since it is divisible by the number (14) 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 1116304809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214673599600).

1116304809984 is an abundant number, since it is smaller than the sum of its proper divisors (3313042389216).

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

1116304809984 is a wasteful number, since it uses less digits than its factorization.

1116304809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1116304809984 in words is "one trillion, one hundred sixteen billion, three hundred four million, eight hundred nine thousand, nine hundred eighty-four".