1106781982992 has 480 divisors, whose sum is σ = 3825001434240. Its totient is φ = 305306910720.

The previous prime is 1106781982931. The next prime is 1106781982997. The reversal of 1106781982992 is 2992891876011.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1106781982997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84178563 + ... + 84191709.

It is an arithmetic number, because the mean of its divisors is an integer number (7968752988).

Almost surely, 2^{1106781982992} is an apocalyptic number.

1106781982992 is a gapful number since it is divisible by the number (12) 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 1106781982992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912500717120).

1106781982992 is an abundant number, since it is smaller than the sum of its proper divisors (2718219451248).

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

1106781982992 is a wasteful number, since it uses less digits than its factorization.

1106781982992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13297 counting only the distinct ones).

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

The spelling of 1106781982992 in words is "one trillion, one hundred six billion, seven hundred eighty-one million, nine hundred eighty-two thousand, nine hundred ninety-two".