1083849984000 has 2304 divisors, whose sum is σ = 4911043737600. Its totient is φ = 232906752000.

The previous prime is 1083849983977. The next prime is 1083849984001. The reversal of 1083849984000 is 4899483801.

1083849984000 is a `hidden beast` number, since 108 + 3 + 8 + 49 + 98 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083849984001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8273663935 + ... + 8273664065.

It is an arithmetic number, because the mean of its divisors is an integer number (2131529400).

Almost surely, 2^{1083849984000} is an apocalyptic number.

1083849984000 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 1083849984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455521868800).

1083849984000 is an abundant number, since it is smaller than the sum of its proper divisors (3827193753600).

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

1083849984000 is an equidigital number, since it uses as much as digits as its factorization.

1083849984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1083849984000 in words is "one trillion, eighty-three billion, eight hundred forty-nine million, nine hundred eighty-four thousand".