6138574848 has 192 divisors, whose sum is σ = 20782944000. Its totient is φ = 1753767936.

The previous prime is 6138574837. The next prime is 6138574879. The reversal of 6138574848 is 8484758316.

6138574848 is a `hidden beast` number, since 61 + 3 + 8 + 574 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 6138574794 and 6138574803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379143 + ... + 395001.

It is an arithmetic number, because the mean of its divisors is an integer number (108244500).

Almost surely, 2^6138574848 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 6138574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391472000).

6138574848 is an abundant number, since it is smaller than the sum of its proper divisors (14644369152).

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

6138574848 is a wasteful number, since it uses less digits than its factorization.

6138574848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897 (or 15871 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 6138574848 is about 78349.0577352402. The cubic root of 6138574848 is about 1831.0035452431.

The spelling of 6138574848 in words is "six billion, one hundred thirty-eight million, five hundred seventy-four thousand, eight hundred forty-eight".