1106800959744 has 432 divisors, whose sum is σ = 3350391735600. Its totient is φ = 350945280000.

The previous prime is 1106800959727. The next prime is 1106800959791. The reversal of 1106800959744 is 4479590086011.

1106800959744 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 8 + 0 + 0 + 9 + 597 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 670250041344 + 436550918400 = 818688^2 + 660720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2706114612 + ... + 2706115020.

It is an arithmetic number, because the mean of its divisors is an integer number (7755536425).

Almost surely, 2^{1106800959744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106800959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675195867800).

1106800959744 is an abundant number, since it is smaller than the sum of its proper divisors (2243590775856).

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

1106800959744 is a wasteful number, since it uses less digits than its factorization.

1106800959744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1106800959744 in words is "one trillion, one hundred six billion, eight hundred million, nine hundred fifty-nine thousand, seven hundred forty-four".