19296331632081 has 27 divisors (see below), whose sum is σ = 32423242846761. Its totient is φ = 11026422505224.

The previous prime is 19296331632079. The next prime is 19296331632101. The reversal of 19296331632081 is 18023613369291.

The square root of 19296331632081 is 4392759.

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

19296331632081 is a `hidden beast` number, since 1 + 9 + 296 + 3 + 316 + 32 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 19296331632081 - 2¹ = 19296331632079 is a prime.

It is a super-2 number, since 2×19296331632081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19296331632181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92143350 + ... + 92352528.

Almost surely, 2^{19296331632081} is an apocalyptic number.

19296331632081 is the 4392759-th square number.

19296331632081 is the 2196380-th centered octagonal number.

It is an amenable number.

19296331632081 is a deficient number, since it is larger than the sum of its proper divisors (13126911214680).

19296331632081 is an frugal number, since it uses more digits than its factorization.

19296331632081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418378 (or 209189 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 19296331632081 in words is "nineteen trillion, two hundred ninety-six billion, three hundred thirty-one million, six hundred thirty-two thousand, eighty-one".