243148419577728 has 384 divisors, whose sum is σ = 808687902597120. Its totient is φ = 68688641323008.

The previous prime is 243148419577709. The next prime is 243148419577751. The reversal of 243148419577728 is 827775914841342.

243148419577728 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 4 + 8 + 41 + 9 + 577 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 299664351 + ... + 300474657.

It is an arithmetic number, because the mean of its divisors is an integer number (2105958079680).

Almost surely, 2^{243148419577728} is an apocalyptic number.

243148419577728 is a gapful number since it is divisible by the number (28) 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 243148419577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404343951298560).

243148419577728 is an abundant number, since it is smaller than the sum of its proper divisors (565539483019392).

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

243148419577728 is a wasteful number, since it uses less digits than its factorization.

243148419577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810754 (or 810739 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 243148419577728 in words is "two hundred forty-three trillion, one hundred forty-eight billion, four hundred nineteen million, five hundred seventy-seven thousand, seven hundred twenty-eight".