1109111905664 has 128 divisors (see below), whose sum is σ = 2643489838080. Its totient is φ = 453202421760.

The previous prime is 1109111905639. The next prime is 1109111905667. The reversal of 1109111905664 is 4665091119011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109111905667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6322562 + ... + 6495614.

It is an arithmetic number, because the mean of its divisors is an integer number (20652264360).

Almost surely, 2^{1109111905664} is an apocalyptic number.

1109111905664 is a gapful number since it is divisible by the number (14) 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 1109111905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321744919040).

1109111905664 is an abundant number, since it is smaller than the sum of its proper divisors (1534377932416).

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

1109111905664 is a wasteful number, since it uses less digits than its factorization.

1109111905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173408 (or 173396 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 44.

The spelling of 1109111905664 in words is "one trillion, one hundred nine billion, one hundred eleven million, nine hundred five thousand, six hundred sixty-four".