1109218271616 has 640 divisors, whose sum is σ = 4145875272000. Its totient is φ = 292528889856.

The previous prime is 1109218271611. The next prime is 1109218271633. The reversal of 1109218271616 is 6161728129011.

1109218271616 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 2 + 1 + 8 + 27 + 1 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109218271611) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 46218916 + ... + 46242908.

Almost surely, 2^{1109218271616} is an apocalyptic number.

1109218271616 is a gapful number since it is divisible by the number (16) 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 1109218271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072937636000).

1109218271616 is an abundant number, since it is smaller than the sum of its proper divisors (3036657000384).

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

1109218271616 is an equidigital number, since it uses as much as digits as its factorization.

1109218271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24053 (or 24018 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1109218271616 in words is "one trillion, one hundred nine billion, two hundred eighteen million, two hundred seventy-one thousand, six hundred sixteen".