1083194671104 has 1224 divisors, whose sum is σ = 4154499815760. Its totient is φ = 276462305280.

The previous prime is 1083194671103. The next prime is 1083194671133. The reversal of 1083194671104 is 4011764913801.

1083194671104 is a `hidden beast` number, since 1 + 0 + 83 + 1 + 9 + 467 + 1 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1083194671104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083194671103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34941763569 + ... + 34941763599.

Almost surely, 2^{1083194671104} is an apocalyptic number.

1083194671104 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 1083194671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077249907880).

1083194671104 is an abundant number, since it is smaller than the sum of its proper divisors (3071305144656).

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

1083194671104 is an frugal number, since it uses more digits than its factorization.

1083194671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1083194671104 in words is "one trillion, eighty-three billion, one hundred ninety-four million, six hundred seventy-one thousand, one hundred four".