19929456634564 has 27 divisors (see below), whose sum is σ = 35362011218247. Its totient is φ = 9827903764224.

The previous prime is 19929456634553. The next prime is 19929456634583. The reversal of 19929456634564 is 46543665492991.

The square root of 19929456634564 is 4464242.

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 141194074564 + 19788262560000 = 375758^2 + 4448400^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 651764044 + ... + 651794620.

Almost surely, 2^{19929456634564} is an apocalyptic number.

19929456634564 is the 4464242-nd square number.

It is an amenable number.

19929456634564 is a deficient number, since it is larger than the sum of its proper divisors (15432554583683).

19929456634564 is an frugal number, since it uses more digits than its factorization.

19929456634564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61304 (or 30652 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 73.

The spelling of 19929456634564 in words is "nineteen trillion, nine hundred twenty-nine billion, four hundred fifty-six million, six hundred thirty-four thousand, five hundred sixty-four".