243536518656 has 240 divisors, whose sum is σ = 746400736224. Its totient is φ = 76178522112.

The previous prime is 243536518579. The next prime is 243536518657. The reversal of 243536518656 is 656815635342.

243536518656 is a `hidden beast` number, since 2 + 4 + 3 + 536 + 51 + 8 + 6 + 56 = 666.

It is a super-3 number, since 3×243536518656³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243536518657) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27648205 + ... + 27657011.

Almost surely, 2^243536518656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243536518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373200368112).

243536518656 is an abundant number, since it is smaller than the sum of its proper divisors (502864217568).

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

243536518656 is a wasteful number, since it uses less digits than its factorization.

243536518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9182 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 243536518656 in words is "two hundred forty-three billion, five hundred thirty-six million, five hundred eighteen thousand, six hundred fifty-six".