1123635216 has 80 divisors (see below), whose sum is σ = 3180778560. Its totient is φ = 338972160.

The previous prime is 1123635211. The next prime is 1123635223. The reversal of 1123635216 is 6125363211.

It is not an unprimeable number, because it can be changed into a prime (1123635211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116266 + ... + 125558.

It is an arithmetic number, because the mean of its divisors is an integer number (39759732).

Almost surely, 2^1123635216 is an apocalyptic number.

1123635216 is a gapful number since it is divisible by the number (16) 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 1123635216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590389280).

1123635216 is an abundant number, since it is smaller than the sum of its proper divisors (2057143344).

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

1123635216 is a wasteful number, since it uses less digits than its factorization.

1123635216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9538 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 1123635216 is about 33520.6684897542. The cubic root of 1123635216 is about 1039.6211687295.

Adding to 1123635216 its reverse (6125363211), we get a palindrome (7248998427).

The spelling of 1123635216 in words is "one billion, one hundred twenty-three million, six hundred thirty-five thousand, two hundred sixteen".