243681125264512 has 256 divisors, whose sum is σ = 530368223817600. Its totient is φ = 110855024640000.

The previous prime is 243681125264471. The next prime is 243681125264587. The reversal of 243681125264512 is 215462521186342.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 243681125264512.

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, 18403522212 + ... + 18403535452.

Almost surely, 2^{243681125264512} 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 243681125264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265184111908800).

243681125264512 is an abundant number, since it is smaller than the sum of its proper divisors (286687098553088).

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

243681125264512 is a wasteful number, since it uses less digits than its factorization.

243681125264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975 (or 13963 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The spelling of 243681125264512 in words is "two hundred forty-three trillion, six hundred eighty-one billion, one hundred twenty-five million, two hundred sixty-four thousand, five hundred twelve".