1109916081504 has 144 divisors (see below), whose sum is σ = 3185527664592. Its totient is φ = 366551506944.

The previous prime is 1109916081497. The next prime is 1109916081517. The reversal of 1109916081504 is 4051806199011.

1109916081504 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 1 + 60 + 81 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1109916081504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107617852 + ... + 107628164.

It is an arithmetic number, because the mean of its divisors is an integer number (22121719893).

Almost surely, 2^{1109916081504} 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 1109916081504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592763832296).

1109916081504 is an abundant number, since it is smaller than the sum of its proper divisors (2075611583088).

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

1109916081504 is a wasteful number, since it uses less digits than its factorization.

1109916081504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1109916081504 in words is "one trillion, one hundred nine billion, nine hundred sixteen million, eighty-one thousand, five hundred four".