1100795318144 has 128 divisors (see below), whose sum is σ = 2241255139200. Its totient is φ = 538451214336.

The previous prime is 1100795318111. The next prime is 1100795318153. The reversal of 1100795318144 is 4418135970011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1100795318095 and 1100795318104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 461935577 + ... + 461937959.

It is an arithmetic number, because the mean of its divisors is an integer number (17509805775).

Almost surely, 2^{1100795318144} 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 1100795318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120627569600).

1100795318144 is an abundant number, since it is smaller than the sum of its proper divisors (1140459821056).

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

1100795318144 is a wasteful number, since it uses less digits than its factorization.

1100795318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 1100795318144 in words is "one trillion, one hundred billion, seven hundred ninety-five million, three hundred eighteen thousand, one hundred forty-four".