4105187648 has 112 divisors (see below), whose sum is σ = 8711915520. Its totient is φ = 1916006400.

The previous prime is 4105187627. The next prime is 4105187657. The reversal of 4105187648 is 8467815014.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4105187599 and 4105187608.

It is a congruent number.

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, 8866265 + ... + 8866727.

It is an arithmetic number, because the mean of its divisors is an integer number (77784960).

Almost surely, 2^4105187648 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 4105187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355957760).

4105187648 is an abundant number, since it is smaller than the sum of its proper divisors (4606727872).

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

4105187648 is a wasteful number, since it uses less digits than its factorization.

4105187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 4105187648 is about 64071.7382938843. The cubic root of 4105187648 is about 1601.1954149753.

The spelling of 4105187648 in words is "four billion, one hundred five million, one hundred eighty-seven thousand, six hundred forty-eight".