1109845041984 has 252 divisors, whose sum is σ = 3701745898500. Its totient is φ = 316995710976.

The previous prime is 1109845041953. The next prime is 1109845041997. The reversal of 1109845041984 is 4891405489011.

1109845041984 is a `hidden beast` number, since 1 + 10 + 98 + 4 + 50 + 419 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1026250041600 + 83595000384 = 1013040^2 + 289128^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 1109845041984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147015042 + ... + 147022590.

Almost surely, 2^{1109845041984} is an apocalyptic number.

1109845041984 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 1109845041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850872949250).

1109845041984 is an abundant number, since it is smaller than the sum of its proper divisors (2591900856516).

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

1109845041984 is a wasteful number, since it uses less digits than its factorization.

1109845041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12790 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1109845041984 in words is "one trillion, one hundred nine billion, eight hundred forty-five million, forty-one thousand, nine hundred eighty-four".