1103056335144 has 96 divisors (see below), whose sum is σ = 3111104505600. Its totient is φ = 352675653120.

The previous prime is 1103056335137. The next prime is 1103056335163. The reversal of 1103056335144 is 4415336503011.

1103056335144 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 0 + 5 + 633 + 5 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1103056335099 and 1103056335108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934514 + ... + 2438945.

It is an arithmetic number, because the mean of its divisors is an integer number (32407338600).

Almost surely, 2^{1103056335144} is an apocalyptic number.

It is an amenable number.

1103056335144 is an abundant number, since it is smaller than the sum of its proper divisors (2008048170456).

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

1103056335144 is a wasteful number, since it uses less digits than its factorization.

1103056335144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373615 (or 4373608 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1103056335144 in words is "one trillion, one hundred three billion, fifty-six million, three hundred thirty-five thousand, one hundred forty-four".