1116828384000 has 864 divisors, whose sum is σ = 4349191444416. Its totient is φ = 253265510400.

The previous prime is 1116828383989. The next prime is 1116828384037. The reversal of 1116828384000 is 4838286111.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 644447134 + ... + 644448866.

It is an arithmetic number, because the mean of its divisors is an integer number (5033786394).

Almost surely, 2^{1116828384000} is an apocalyptic number.

1116828384000 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 1116828384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174595722208).

1116828384000 is an abundant number, since it is smaller than the sum of its proper divisors (3232363060416).

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

1116828384000 is a wasteful number, since it uses less digits than its factorization.

1116828384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 1116828384000 in words is "one trillion, one hundred sixteen billion, eight hundred twenty-eight million, three hundred eighty-four thousand".