243433937664 has 432 divisors, whose sum is σ = 760467681792. Its totient is φ = 74615980032.

The previous prime is 243433937653. The next prime is 243433937699. The reversal of 243433937664 is 466739334342.

243433937664 is a `hidden beast` number, since 243 + 4 + 3 + 393 + 7 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 243433937664.

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 47 ways as a sum of consecutive naturals, for example, 334846869 + ... + 334847595.

It is an arithmetic number, because the mean of its divisors is an integer number (1760341856).

Almost surely, 2^243433937664 is an apocalyptic number.

243433937664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243433937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380233840896).

243433937664 is an abundant number, since it is smaller than the sum of its proper divisors (517033744128).

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

243433937664 is a wasteful number, since it uses less digits than its factorization.

243433937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 54.

The spelling of 243433937664 in words is "two hundred forty-three billion, four hundred thirty-three million, nine hundred thirty-seven thousand, six hundred sixty-four".