19351632104401 has 27 divisors (see below), whose sum is σ = 20355488893467. Its totient is φ = 18395767146240.

The previous prime is 19351632104377. The next prime is 19351632104429. The reversal of 19351632104401 is 10440123615391.

The square root of 19351632104401 is 4399049.

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

It can be written as a sum of positive squares in only one way, i.e., 4688675662225 + 14662956442176 = 2165335^2 + 3829224^2 .

It is not a de Polignac number, because 19351632104401 - 2⁹ = 19351632103889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19351632104461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19527378016 + ... + 19527379006.

Almost surely, 2^{19351632104401} is an apocalyptic number.

19351632104401 is the 4399049-th square number.

19351632104401 is the 2199525-th centered octagonal number.

It is an amenable number.

19351632104401 is a deficient number, since it is larger than the sum of its proper divisors (1003856789066).

19351632104401 is an frugal number, since it uses more digits than its factorization.

19351632104401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

Adding to 19351632104401 its reverse (10440123615391), we get a palindrome (29791755719792).

The spelling of 19351632104401 in words is "nineteen trillion, three hundred fifty-one billion, six hundred thirty-two million, one hundred four thousand, four hundred one".