1109955083328 has 672 divisors, whose sum is σ = 4051969259520. Its totient is φ = 282593525760.

The previous prime is 1109955083317. The next prime is 1109955083329. The reversal of 1109955083328 is 8233805599011.

1109955083328 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 550 + 83 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1109955083329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1100054088 + ... + 1100055096.

It is an arithmetic number, because the mean of its divisors is an integer number (6029716160).

Almost surely, 2^{1109955083328} is an apocalyptic number.

1109955083328 is a gapful number since it is divisible by the number (18) 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 1109955083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025984629760).

1109955083328 is an abundant number, since it is smaller than the sum of its proper divisors (2942014176192).

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

1109955083328 is a wasteful number, since it uses less digits than its factorization.

1109955083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1109955083328 in words is "one trillion, one hundred nine billion, nine hundred fifty-five million, eighty-three thousand, three hundred twenty-eight".