4105323648 has 192 divisors, whose sum is σ = 12397039200. Its totient is φ = 1352153088.

The previous prime is 4105323647. The next prime is 4105323653. The reversal of 4105323648 is 8463235014.

4105323648 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 3 + 2 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (4105323647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767515 + ... + 2768997.

Almost surely, 2^4105323648 is an apocalyptic number.

4105323648 is a gapful number since it is divisible by the number (48) 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 4105323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198519600).

4105323648 is an abundant number, since it is smaller than the sum of its proper divisors (8291715552).

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

4105323648 is an equidigital number, since it uses as much as digits as its factorization.

4105323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4105323648 is about 64072.7995954602. The cubic root of 4105323648 is about 1601.2130966820.

The spelling of 4105323648 in words is "four billion, one hundred five million, three hundred twenty-three thousand, six hundred forty-eight".