1117868916096 has 1280 divisors, whose sum is σ = 3796391301120. Its totient is φ = 325173657600.

The previous prime is 1117868916067. The next prime is 1117868916107. The reversal of 1117868916096 is 6906198687111.

1117868916096 is a `hidden beast` number, since 1 + 1 + 17 + 8 + 6 + 8 + 9 + 1 + 609 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 16684610655 + ... + 16684610721.

It is an arithmetic number, because the mean of its divisors is an integer number (2965930704).

Almost surely, 2^{1117868916096} is an apocalyptic number.

1117868916096 is a gapful number since it is divisible by the number (16) 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 1117868916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898195650560).

1117868916096 is an abundant number, since it is smaller than the sum of its proper divisors (2678522385024).

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

1117868916096 is a wasteful number, since it uses less digits than its factorization.

1117868916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 1117868916096 in words is "one trillion, one hundred seventeen billion, eight hundred sixty-eight million, nine hundred sixteen thousand, ninety-six".