243532656864 has 384 divisors, whose sum is σ = 856016179200. Its totient is φ = 65801756160.

The previous prime is 243532656847. The next prime is 243532656911. The reversal of 243532656864 is 468656235342.

It is a happy number.

243532656864 is a `hidden beast` number, since 2 + 4 + 3 + 53 + 26 + 568 + 6 + 4 = 666.

243532656864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×243532656864³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 243532656864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79402659 + ... + 79405725.

It is an arithmetic number, because the mean of its divisors is an integer number (2229208800).

Almost surely, 2^243532656864 is an apocalyptic number.

243532656864 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 243532656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428008089600).

243532656864 is an abundant number, since it is smaller than the sum of its proper divisors (612483522336).

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

243532656864 is a wasteful number, since it uses less digits than its factorization.

243532656864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3789 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 243532656864 in words is "two hundred forty-three billion, five hundred thirty-two million, six hundred fifty-six thousand, eight hundred sixty-four".