6048661749984 has 576 divisors, whose sum is σ = 21241862433792. Its totient is φ = 1593354240000.

The previous prime is 6048661749919. The next prime is 6048661750003. The reversal of 6048661749984 is 4899471668406.

It is a happy number.

6048661749984 is a `hidden beast` number, since 6 + 0 + 48 + 6 + 6 + 17 + 499 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524732829 + ... + 524744355.

It is an arithmetic number, because the mean of its divisors is an integer number (36878233392).

Almost surely, 2^{6048661749984} 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 6048661749984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10620931216896).

6048661749984 is an abundant number, since it is smaller than the sum of its proper divisors (15193200683808).

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

6048661749984 is a wasteful number, since it uses less digits than its factorization.

6048661749984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 6048661749984 in words is "six trillion, forty-eight billion, six hundred sixty-one million, seven hundred forty-nine thousand, nine hundred eighty-four".