19238114304768 has 288 divisors, whose sum is σ = 53443058457600. Its totient is φ = 6138243514368.

The previous prime is 19238114304767. The next prime is 19238114304793. The reversal of 19238114304768 is 86740341183291.

It is not an unprimeable number, because it can be changed into a prime (19238114304767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563671128 + ... + 563705256.

It is an arithmetic number, because the mean of its divisors is an integer number (185566175200).

Almost surely, 2^{19238114304768} 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 19238114304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26721529228800).

19238114304768 is an abundant number, since it is smaller than the sum of its proper divisors (34204944152832).

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

19238114304768 is a wasteful number, since it uses less digits than its factorization.

19238114304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34507 (or 34493 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 19238114304768 in words is "nineteen trillion, two hundred thirty-eight billion, one hundred fourteen million, three hundred four thousand, seven hundred sixty-eight".