243205676195328 has 2240 divisors, whose sum is σ = 974109815838720. Its totient is φ = 58692501504000.

The previous prime is 243205676195227. The next prime is 243205676195329. The reversal of 243205676195328 is 823591676502342.

243205676195328 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 0 + 5 + 6 + 7 + 619 + 5 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243205676195329) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 38597945778 + ... + 38597952078.

It is a 1-persistent number, because it is pandigital, but 2⋅243205676195328 = 486411352390656 is not.

Almost surely, 2^{243205676195328} is an apocalyptic number.

243205676195328 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 243205676195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487054907919360).

243205676195328 is an abundant number, since it is smaller than the sum of its proper divisors (730904139643392).

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

243205676195328 is an equidigital number, since it uses as much as digits as its factorization.

243205676195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 243205676195328 in words is "two hundred forty-three trillion, two hundred five billion, six hundred seventy-six million, one hundred ninety-five thousand, three hundred twenty-eight".