1083384681120 has 480 divisors, whose sum is σ = 4372605490176. Its totient is φ = 247463424000.

The previous prime is 1083384681107. The next prime is 1083384681121. The reversal of 1083384681120 is 211864833801.

1083384681120 is a `hidden beast` number, since 10 + 83 + 384 + 68 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1083384681121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176991660 + ... + 176997780.

Almost surely, 2^{1083384681120} is an apocalyptic number.

1083384681120 is a gapful number since it is divisible by the number (10) 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 1083384681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186302745088).

1083384681120 is an abundant number, since it is smaller than the sum of its proper divisors (3289220809056).

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

1083384681120 is a wasteful number, since it uses less digits than its factorization.

1083384681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1083384681120 in words is "one trillion, eighty-three billion, three hundred eighty-four million, six hundred eighty-one thousand, one hundred twenty".