1606434572304 has 675 divisors, whose sum is σ = 5260969915047. Its totient is φ = 473073924096.

The previous prime is 1606434572297. The next prime is 1606434572339. The reversal of 1606434572304 is 4032754346061.

The square root of 1606434572304 is 1267452.

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

1606434572304 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 43 + 4 + 572 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366436515600 + 1239998056704 = 605340^2 + 1113552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1606434572304.

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 134 ways as a sum of consecutive naturals, for example, 14737931802 + ... + 14737931910.

Almost surely, 2^{1606434572304} is an apocalyptic number.

1606434572304 is the 1267452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606434572304

1606434572304 is an abundant number, since it is smaller than the sum of its proper divisors (3654535342743).

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

1606434572304 is a wasteful number, since it uses less digits than its factorization.

1606434572304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 1606434572304 in words is "one trillion, six hundred six billion, four hundred thirty-four million, five hundred seventy-two thousand, three hundred four".