6038814349568 has 432 divisors, whose sum is σ = 17266429676160. Its totient is φ = 2044032122880.

The previous prime is 6038814349537. The next prime is 6038814349597. The reversal of 6038814349568 is 8659434188306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47856863 + ... + 47982881.

Almost surely, 2^{6038814349568} is an apocalyptic number.

6038814349568 is a gapful number since it is divisible by the number (68) 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 6038814349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633214838080).

6038814349568 is an abundant number, since it is smaller than the sum of its proper divisors (11227615326592).

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

6038814349568 is a wasteful number, since it uses less digits than its factorization.

6038814349568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126094 (or 126069 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 65.

The spelling of 6038814349568 in words is "six trillion, thirty-eight billion, eight hundred fourteen million, three hundred forty-nine thousand, five hundred sixty-eight".