4832112384 has 216 divisors, whose sum is σ = 15612538032. Its totient is φ = 1424424960.

The previous prime is 4832112379. The next prime is 4832112409.

It is a happy number.

4832112384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935152 + ... + 940304.

Almost surely, 2^4832112384 is an apocalyptic number.

4832112384 is a gapful number since it is divisible by the number (44) 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 4832112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806269016).

4832112384 is an abundant number, since it is smaller than the sum of its proper divisors (10780425648).

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

4832112384 is a wasteful number, since it uses less digits than its factorization.

4832112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5206 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4832112384 is about 69513.3971547931. The cubic root of 4832112384 is about 1690.6187275010.

The spelling of 4832112384 in words is "four billion, eight hundred thirty-two million, one hundred twelve thousand, three hundred eighty-four".