243068656896 has 1440 divisors, whose sum is σ = 897489331200. Its totient is φ = 64656506880.

The previous prime is 243068656889. The next prime is 243068656967. The reversal of 243068656896 is 698656860342.

243068656896 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 68 + 6 + 568 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4119807715 + ... + 4119807773.

It is an arithmetic number, because the mean of its divisors is an integer number (623256480).

Almost surely, 2^243068656896 is an apocalyptic number.

243068656896 is a gapful number since it is divisible by the number (26) 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 243068656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448744665600).

243068656896 is an abundant number, since it is smaller than the sum of its proper divisors (654420674304).

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

243068656896 is a wasteful number, since it uses less digits than its factorization.

243068656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 243068656896 in words is "two hundred forty-three billion, sixty-eight million, six hundred fifty-six thousand, eight hundred ninety-six".