1105841382912 has 720 divisors, whose sum is σ = 4053164955840. Its totient is φ = 299294134272.

The previous prime is 1105841382911. The next prime is 1105841382923. The reversal of 1105841382912 is 2192831485011.

1105841382912 is a `hidden beast` number, since 1 + 1 + 0 + 584 + 1 + 38 + 29 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105841382911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115826523 + ... + 115836069.

It is an arithmetic number, because the mean of its divisors is an integer number (5629395772).

Almost surely, 2^{1105841382912} is an apocalyptic number.

1105841382912 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 1105841382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026582477920).

1105841382912 is an abundant number, since it is smaller than the sum of its proper divisors (2947323572928).

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

1105841382912 is an frugal number, since it uses more digits than its factorization.

1105841382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9613 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1105841382912 in words is "one trillion, one hundred five billion, eight hundred forty-one million, three hundred eighty-two thousand, nine hundred twelve".