19972190329 has 27 divisors (see below), whose sum is σ = 25173789453. Its totient is φ = 15791997312.

The previous prime is 19972190321. The next prime is 19972190339. The reversal of 19972190329 is 92309127991.

It is a happy number.

The square root of 19972190329 is 141323.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11304580329 + 8667610000 = 106323^2 + 93100^2 .

It is not a de Polignac number, because 19972190329 - 2³ = 19972190321 is a prime.

It is a super-2 number, since 2×19972190329² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19972190321) 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 26 ways as a sum of consecutive naturals, for example, 12859617 + ... + 12861169.

Almost surely, 2^19972190329 is an apocalyptic number.

19972190329 is the 141323-rd square number.

19972190329 is the 70662-nd centered octagonal number.

It is an amenable number.

19972190329 is a deficient number, since it is larger than the sum of its proper divisors (5201599124).

19972190329 is an frugal number, since it uses more digits than its factorization.

19972190329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 52.

The spelling of 19972190329 in words is "nineteen billion, nine hundred seventy-two million, one hundred ninety thousand, three hundred twenty-nine".