1109065353984 has 1440 divisors, whose sum is σ = 4214400960000. Its totient is φ = 288822288384.

The previous prime is 1109065353953. The next prime is 1109065353997. The reversal of 1109065353984 is 4893535609011.

1109065353984 is a `hidden beast` number, since 1 + 10 + 9 + 0 + 6 + 535 + 3 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1109065353984.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3918958707 + ... + 3918958989.

Almost surely, 2^{1109065353984} is an apocalyptic number.

1109065353984 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 1109065353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107200480000).

1109065353984 is an abundant number, since it is smaller than the sum of its proper divisors (3105335606016).

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

1109065353984 is an equidigital number, since it uses as much as digits as its factorization.

1109065353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1109065353984 in words is "one trillion, one hundred nine billion, sixty-five million, three hundred fifty-three thousand, nine hundred eighty-four".