4148037216 has 144 divisors (see below), whose sum is σ = 12382179264. Its totient is φ = 1365807744.

The previous prime is 4148037211. The next prime is 4148037227. The reversal of 4148037216 is 6127308414.

4148037216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (4148037211) 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, 642195 + ... + 648621.

It is an arithmetic number, because the mean of its divisors is an integer number (85987356).

Almost surely, 2^4148037216 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 4148037216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191089632).

4148037216 is an abundant number, since it is smaller than the sum of its proper divisors (8234142048).

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

4148037216 is an equidigital number, since it uses as much as digits as its factorization.

4148037216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4148037216 is about 64405.2576735782. The cubic root of 4148037216 is about 1606.7471863443.

The spelling of 4148037216 in words is "four billion, one hundred forty-eight million, thirty-seven thousand, two hundred sixteen".