8643138432 has 128 divisors (see below), whose sum is σ = 23799415200. Its totient is φ = 2776965120.

The previous prime is 8643138431. The next prime is 8643138443. The reversal of 8643138432 is 2348313468.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8643138431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1545882 + ... + 1551462.

Almost surely, 2^8643138432 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 8643138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899707600).

8643138432 is an abundant number, since it is smaller than the sum of its proper divisors (15156276768).

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

8643138432 is a wasteful number, since it uses less digits than its factorization.

8643138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5732 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 8643138432 is about 92968.4808523835. The cubic root of 8643138432 is about 2052.2195616398.

The spelling of 8643138432 in words is "eight billion, six hundred forty-three million, one hundred thirty-eight thousand, four hundred thirty-two".