19448199564768 has 768 divisors, whose sum is σ = 68050017665280. Its totient is φ = 5346105753600.

The previous prime is 19448199564719. The next prime is 19448199564797. The reversal of 19448199564768 is 86746599184491.

19448199564768 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 8 + 1 + 99 + 56 + 476 + 8 = 666.

It is a super-2 number, since 2×19448199564768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 289628478 + ... + 289695618.

It is an arithmetic number, because the mean of its divisors is an integer number (88606793835).

Almost surely, 2^{19448199564768} is an apocalyptic number.

19448199564768 is a gapful number since it is divisible by the number (18) 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 19448199564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34025008832640).

19448199564768 is an abundant number, since it is smaller than the sum of its proper divisors (48601818100512).

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

19448199564768 is a wasteful number, since it uses less digits than its factorization.

19448199564768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67268 (or 67254 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 19448199564768 in words is "nineteen trillion, four hundred forty-eight billion, one hundred ninety-nine million, five hundred sixty-four thousand, seven hundred sixty-eight".