4048136338176 has 288 divisors, whose sum is σ = 13684903769600. Its totient is φ = 1156297420800.

The previous prime is 4048136338097. The next prime is 4048136338229. The reversal of 4048136338176 is 6718336318404.

It is a happy number.

4048136338176 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 136 + 338 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225024990 + ... + 225042978.

Almost surely, 2^{4048136338176} 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 4048136338176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842451884800).

4048136338176 is an abundant number, since it is smaller than the sum of its proper divisors (9636767431424).

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

4048136338176 is a wasteful number, since it uses less digits than its factorization.

4048136338176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22672 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4048136338176 in words is "four trillion, forty-eight billion, one hundred thirty-six million, three hundred thirty-eight thousand, one hundred seventy-six".