1116283679200 has 144 divisors (see below), whose sum is σ = 2793022703856. Its totient is φ = 435399987200.

The previous prime is 1116283679107. The next prime is 1116283679237. The reversal of 1116283679200 is 29763826111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73562814 + ... + 73577986.

It is an arithmetic number, because the mean of its divisors is an integer number (19395990999).

Almost surely, 2^{1116283679200} is an apocalyptic number.

1116283679200 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 1116283679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396511351928).

1116283679200 is an abundant number, since it is smaller than the sum of its proper divisors (1676739024656).

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

1116283679200 is a wasteful number, since it uses less digits than its factorization.

1116283679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17477 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 1116283679200 in words is "one trillion, one hundred sixteen billion, two hundred eighty-three million, six hundred seventy-nine thousand, two hundred".