243149841152256 has 288 divisors, whose sum is σ = 679560131174400. Its totient is φ = 77089627422720.

The previous prime is 243149841152209. The next prime is 243149841152261. The reversal of 243149841152256 is 652251148941342.

It is a junction number, because it is equal to n+sod(n) for n = 243149841152196 and 243149841152205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353514735 + ... + 354201873.

It is an arithmetic number, because the mean of its divisors is an integer number (2359583788800).

Almost surely, 2^{243149841152256} 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 243149841152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339780065587200).

243149841152256 is an abundant number, since it is smaller than the sum of its proper divisors (436410290022144).

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

243149841152256 is a wasteful number, since it uses less digits than its factorization.

243149841152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687445 (or 687431 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 57.

The spelling of 243149841152256 in words is "two hundred forty-three trillion, one hundred forty-nine billion, eight hundred forty-one million, one hundred fifty-two thousand, two hundred fifty-six".