1116336960000 has 900 divisors, whose sum is σ = 4291231870926. Its totient is φ = 278323200000.

The previous prime is 1116336959929. The next prime is 1116336960001. The reversal of 1116336960000 is 696336111.

1116336960000 is a `hidden beast` number, since 1 + 1 + 16 + 3 + 36 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 71918366976 + 1044418593024 = 268176^2 + 1021968^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116336960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7392959925 + ... + 7392960075.

Almost surely, 2^{1116336960000} is an apocalyptic number.

1116336960000 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 1116336960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145615935463).

1116336960000 is an abundant number, since it is smaller than the sum of its proper divisors (3174894910926).

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

1116336960000 is an frugal number, since it uses more digits than its factorization.

1116336960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 1116336960000 in words is "one trillion, one hundred sixteen billion, three hundred thirty-six million, nine hundred sixty thousand".