1123311114432 has 252 divisors, whose sum is σ = 3509939487600. Its totient is φ = 343310063616.

The previous prime is 1123311114421. The next prime is 1123311114469. The reversal of 1123311114432 is 2344111133211.

1123311114432 is a `hidden beast` number, since 112 + 3 + 3 + 1 + 1 + 114 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1123311114396 and 1123311114405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14465533 + ... + 14542979.

It is an arithmetic number, because the mean of its divisors is an integer number (13928331300).

Almost surely, 2^{1123311114432} is an apocalyptic number.

1123311114432 is a gapful number since it is divisible by the number (12) 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 1123311114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754969743800).

1123311114432 is an abundant number, since it is smaller than the sum of its proper divisors (2386628373168).

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

1123311114432 is a wasteful number, since it uses less digits than its factorization.

1123311114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77640 (or 77614 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1123311114432 its reverse (2344111133211), we get a palindrome (3467422247643).

The spelling of 1123311114432 in words is "one trillion, one hundred twenty-three billion, three hundred eleven million, one hundred fourteen thousand, four hundred thirty-two".