19430129664 has 375 divisors, whose sum is σ = 63853216735. Its totient is φ = 5887918080.

The previous prime is 19430129599. The next prime is 19430129743. The reversal of 19430129664 is 46692103491.

The square root of 19430129664 is 139392.

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

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=264.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1766375419 + ... + 1766375429.

Almost surely, 2^19430129664 is an apocalyptic number.

19430129664 is the 139392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19430129664

19430129664 is an abundant number, since it is smaller than the sum of its proper divisors (44423087071).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19430129664 is an frugal number, since it uses more digits than its factorization.

19430129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 19430129664 in words is "nineteen billion, four hundred thirty million, one hundred twenty-nine thousand, six hundred sixty-four".