19205968365468 has 192 divisors, whose sum is σ = 51502639104000. Its totient is φ = 6183054259200.

The previous prime is 19205968365461. The next prime is 19205968365523. The reversal of 19205968365468 is 86456386950291.

It is a happy number.

19205968365468 is a `hidden beast` number, since 1 + 9 + 20 + 5 + 9 + 6 + 83 + 65 + 468 = 666.

It is a super-2 number, since 2×19205968365468² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19205968365396 and 19205968365405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19205968365461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4541489578 + ... + 4541493806.

It is an arithmetic number, because the mean of its divisors is an integer number (268242912000).

Almost surely, 2^{19205968365468} is an apocalyptic number.

19205968365468 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 19205968365468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25751319552000).

19205968365468 is an abundant number, since it is smaller than the sum of its proper divisors (32296670738532).

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

19205968365468 is a wasteful number, since it uses less digits than its factorization.

19205968365468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 19205968365468 in words is "nineteen trillion, two hundred five billion, nine hundred sixty-eight million, three hundred sixty-five thousand, four hundred sixty-eight".