1123896384 has 392 divisors, whose sum is σ = 3847840920. Its totient is φ = 322486272.

The previous prime is 1123896377. The next prime is 1123896419. The reversal of 1123896384 is 4836983211.

1123896384 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 8 + 9 + 638 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209438784 + 914457600 = 14472^2 + 30240^2 .

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

Its product of digits (248832) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 10310922 + ... + 10311030.

Almost surely, 2^1123896384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923920460).

1123896384 is an abundant number, since it is smaller than the sum of its proper divisors (2723944536).

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

1123896384 is a wasteful number, since it uses less digits than its factorization.

1123896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1123896384 is about 33524.5638897809. The cubic root of 1123896384 is about 1039.7017093249.

The spelling of 1123896384 in words is "one billion, one hundred twenty-three million, eight hundred ninety-six thousand, three hundred eighty-four".