8433723648 has 144 divisors (see below), whose sum is σ = 27003038720. Its totient is φ = 2282784768.

The previous prime is 8433723637. The next prime is 8433723703. The reversal of 8433723648 is 8463273348.

It is a super-2 number, since 2×8433723648² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 = 8433723597 and 8433723606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60861 + ... + 143427.

Almost surely, 2^8433723648 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 8433723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501519360).

8433723648 is an abundant number, since it is smaller than the sum of its proper divisors (18569315072).

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

8433723648 is a wasteful number, since it uses less digits than its factorization.

8433723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82612 (or 82598 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 8433723648 is about 91835.3071971777. The cubic root of 8433723648 is about 2035.5094457483.

The spelling of 8433723648 in words is "eight billion, four hundred thirty-three million, seven hundred twenty-three thousand, six hundred forty-eight".