19028012376321 has 135 divisors (see below), whose sum is σ = 32195533146777. Its totient is φ = 11193525794880.

The previous prime is 19028012376313. The next prime is 19028012376353. The reversal of 19028012376321 is 12367321082091.

It is a happy number.

The square root of 19028012376321 is 4362111.

It is a perfect power (a square), and thus also a powerful number.

19028012376321 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 8 + 0 + 1 + 2 + 3 + 7 + 632 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217888236225 + 18810124140096 = 466785^2 + 4337064^2 .

It is not a de Polignac number, because 19028012376321 - 2³ = 19028012376313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19028012376371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11738439891 + ... + 11738441511.

Almost surely, 2^{19028012376321} is an apocalyptic number.

19028012376321 is the 4362111-st square number.

19028012376321 is the 2181056-th centered octagonal number.

It is an amenable number.

19028012376321 is a deficient number, since it is larger than the sum of its proper divisors (13167520770456).

19028012376321 is an frugal number, since it uses more digits than its factorization.

19028012376321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19028012376321 in words is "nineteen trillion, twenty-eight billion, twelve million, three hundred seventy-six thousand, three hundred twenty-one".