4148171136 has 128 divisors (see below), whose sum is σ = 12665340000. Its totient is φ = 1335011328.

The previous prime is 4148171089. The next prime is 4148171161. The reversal of 4148171136 is 6311718414.

4148171136 is a `hidden beast` number, since 41 + 481 + 7 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4148171136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79530 + ... + 120918.

Almost surely, 2^4148171136 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 4148171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332670000).

4148171136 is an abundant number, since it is smaller than the sum of its proper divisors (8517168864).

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

4148171136 is a wasteful number, since it uses less digits than its factorization.

4148171136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41441 (or 41423 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 4148171136 is about 64406.2973318603. The cubic root of 4148171136 is about 1606.7644775157.

The spelling of 4148171136 in words is "four billion, one hundred forty-eight million, one hundred seventy-one thousand, one hundred thirty-six".