434522863324944 has 45 divisors (see below), whose sum is σ = 1216061213385109. Its totient is φ = 144840871060800.

The previous prime is 434522863324859. The next prime is 434522863324951. The reversal of 434522863324944 is 449423368225434.

The square root of 434522863324944 is 20845212.

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

434522863324944 is a `hidden beast` number, since 4 + 3 + 4 + 52 + 2 + 8 + 63 + 32 + 494 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91849452451344 + 342673410873600 = 9583812^2 + 18511440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 249273994 + ... + 251011094.

Almost surely, 2^{434522863324944} is an apocalyptic number.

434522863324944 is the 20845212-nd square number.

It is an amenable number.

434522863324944 is an abundant number, since it is smaller than the sum of its proper divisors (781538350060165).

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

434522863324944 is an frugal number, since it uses more digits than its factorization.

434522863324944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474216 (or 1737106 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 63.

The spelling of 434522863324944 in words is "four hundred thirty-four trillion, five hundred twenty-two billion, eight hundred sixty-three million, three hundred twenty-four thousand, nine hundred forty-four".