4101505848 has 256 divisors, whose sum is σ = 12933043200. Its totient is φ = 1193472000.

The previous prime is 4101505847. The next prime is 4101505883. The reversal of 4101505848 is 8485051014.

4101505848 is a `hidden beast` number, since 4 + 101 + 505 + 8 + 48 = 666.

It is a Cunningham number, because it is equal to 64043²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101505847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6916240 + ... + 6916832.

It is an arithmetic number, because the mean of its divisors is an integer number (50519700).

Almost surely, 2^4101505848 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 4101505848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466521600).

4101505848 is an abundant number, since it is smaller than the sum of its proper divisors (8831537352).

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

4101505848 is a wasteful number, since it uses less digits than its factorization.

4101505848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 4101505848 is about 64042.9999921927. Note that the first 5 decimals coincide. The cubic root of 4101505848 is about 1600.7165863088.

The spelling of 4101505848 in words is "four billion, one hundred one million, five hundred five thousand, eight hundred forty-eight".