6048096897024 has 1152 divisors, whose sum is σ = 22741910231040. Its totient is φ = 1505466777600.

The previous prime is 6048096897013. The next prime is 6048096897067. The reversal of 6048096897024 is 4207986908406.

6048096897024 is a `hidden beast` number, since 6 + 0 + 480 + 9 + 6 + 89 + 70 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2131862134 + ... + 2131864970.

It is an arithmetic number, because the mean of its divisors is an integer number (19741241520).

Almost surely, 2^{6048096897024} is an apocalyptic number.

6048096897024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048096897024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370955115520).

6048096897024 is an abundant number, since it is smaller than the sum of its proper divisors (16693813334016).

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

6048096897024 is a wasteful number, since it uses less digits than its factorization.

6048096897024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6048096897024 in words is "six trillion, forty-eight billion, ninety-six million, eight hundred ninety-seven thousand, twenty-four".