1103216705584 has 160 divisors (see below), whose sum is σ = 2657521971200. Its totient is φ = 432956482560.

The previous prime is 1103216705573. The next prime is 1103216705609. The reversal of 1103216705584 is 4855076123011.

It is a super-2 number, since 2×1103216705584² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1103216705584.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57844402 + ... + 57863470.

It is an arithmetic number, because the mean of its divisors is an integer number (16609512320).

Almost surely, 2^{1103216705584} is an apocalyptic number.

1103216705584 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 1103216705584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328760985600).

1103216705584 is an abundant number, since it is smaller than the sum of its proper divisors (1554305265616).

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

1103216705584 is a wasteful number, since it uses less digits than its factorization.

1103216705584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20011 (or 20005 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 1103216705584 in words is "one trillion, one hundred three billion, two hundred sixteen million, seven hundred five thousand, five hundred eighty-four".