6048114048 has 128 divisors (see below), whose sum is σ = 18790032000. Its totient is φ = 1909910016.

The previous prime is 6048114047. The next prime is 6048114049. The reversal of 6048114048 is 8404118406.

6048114048 is a `hidden beast` number, since 604 + 8 + 1 + 1 + 4 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (6048114047) and next prime (6048114049).

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

It is a super-2 number, since 2×6048114048² = 73159367075229892608, which contains 22 as substring.

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 (6048114047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19611 + ... + 111717.

It is an arithmetic number, because the mean of its divisors is an integer number (146797125).

Almost surely, 2^6048114048 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 6048114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395016000).

6048114048 is an abundant number, since it is smaller than the sum of its proper divisors (12741917952).

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

6048114048 is a wasteful number, since it uses less digits than its factorization.

6048114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92149 (or 92131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6048114048 is about 77769.6216269566. The cubic root of 6048114048 is about 1821.9648353318.

It can be divided in two parts, 60481 and 14048, that added together give a square (74529 = 273²).

The spelling of 6048114048 in words is "six billion, forty-eight million, one hundred fourteen thousand, forty-eight".