19692764148409 has 27 divisors (see below), whose sum is σ = 21876478345071. Its totient is φ = 17713690727040.

The previous prime is 19692764148397. The next prime is 19692764148427. The reversal of 19692764148409 is 90484146729691.

The square root of 19692764148409 is 4437653.

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., 8842802479225 + 10849961669184 = 2973685^2 + 3293928^2 .

It is not a de Polignac number, because 19692764148409 - 2¹⁷ = 19692764017337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19692764148509) 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, 4734973672 + ... + 4734977830.

Almost surely, 2^{19692764148409} is an apocalyptic number.

19692764148409 is the 4437653-rd square number.

19692764148409 is the 2218827-th centered octagonal number.

It is an amenable number.

19692764148409 is a deficient number, since it is larger than the sum of its proper divisors (2183714196662).

19692764148409 is an frugal number, since it uses more digits than its factorization.

19692764148409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 70.

The spelling of 19692764148409 in words is "nineteen trillion, six hundred ninety-two billion, seven hundred sixty-four million, one hundred forty-eight thousand, four hundred nine".