234635609664 has 63 divisors (see below), whose sum is σ = 672573934123. Its totient is φ = 78207994752.

The previous prime is 234635609633. The next prime is 234635609693. The reversal of 234635609664 is 466906536432.

The square root of 234635609664 is 484392.

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

234635609664 is a `hidden beast` number, since 23 + 4 + 6 + 3 + 5 + 609 + 6 + 6 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 234635609664.

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, 11615317 + ... + 11635499.

Almost surely, 2^234635609664 is an apocalyptic number.

234635609664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

234635609664 is the 484392-nd square number.

It is an amenable number.

234635609664 is an abundant number, since it is smaller than the sum of its proper divisors (437938324459).

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

234635609664 is an frugal number, since it uses more digits than its factorization.

234635609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40384 (or 20188 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 234635609664 in words is "two hundred thirty-four billion, six hundred thirty-five million, six hundred nine thousand, six hundred sixty-four".