1103203581984 has 432 divisors, whose sum is σ = 3880346606136. Its totient is φ = 295413350400.

The previous prime is 1103203581929. The next prime is 1103203582021. The reversal of 1103203581984 is 4891853023011.

1103203581984 is a `hidden beast` number, since 1 + 103 + 2 + 0 + 358 + 198 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1010483331984 + 92720250000 = 1005228^2 + 304500^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57807324 + ... + 57826404.

Almost surely, 2^{1103203581984} is an apocalyptic number.

1103203581984 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 1103203581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940173303068).

1103203581984 is an abundant number, since it is smaller than the sum of its proper divisors (2777143024152).

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

1103203581984 is a wasteful number, since it uses less digits than its factorization.

1103203581984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19369 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1103203581984 in words is "one trillion, one hundred three billion, two hundred three million, five hundred eighty-one thousand, nine hundred eighty-four".