4164872348 has 72 divisors (see below), whose sum is σ = 9053595936. Its totient is φ = 1632476160.

The previous prime is 4164872317. The next prime is 4164872357. The reversal of 4164872348 is 8432784614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17281508 + ... + 17281748.

It is an arithmetic number, because the mean of its divisors is an integer number (125744388).

Almost surely, 2^4164872348 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 4164872348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526797968).

4164872348 is an abundant number, since it is smaller than the sum of its proper divisors (4888723588).

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

4164872348 is a wasteful number, since it uses less digits than its factorization.

4164872348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 460 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The square root of 4164872348 is about 64535.8222075151. The cubic root of 4164872348 is about 1608.9179550944.

The spelling of 4164872348 in words is "four billion, one hundred sixty-four million, eight hundred seventy-two thousand, three hundred forty-eight".