1103316435648 has 252 divisors, whose sum is σ = 3729178089000. Its totient is φ = 310914422784.

The previous prime is 1103316435643. The next prime is 1103316435659. The reversal of 1103316435648 is 8465346133011.

1103316435648 is a `hidden beast` number, since 1 + 1 + 0 + 33 + 16 + 43 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (1103316435643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1792603 + ... + 2328101.

It is an arithmetic number, because the mean of its divisors is an integer number (14798325750).

Almost surely, 2^{1103316435648} is an apocalyptic number.

1103316435648 is a gapful number since it is divisible by the number (18) 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 1103316435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864589044500).

1103316435648 is an abundant number, since it is smaller than the sum of its proper divisors (2625861653352).

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

1103316435648 is a wasteful number, since it uses less digits than its factorization.

1103316435648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535604 (or 535584 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1103316435648 in words is "one trillion, one hundred three billion, three hundred sixteen million, four hundred thirty-five thousand, six hundred forty-eight".