243041395968 has 1152 divisors, whose sum is σ = 940933324800. Its totient is φ = 60222210048.

The previous prime is 243041395937. The next prime is 243041395981. The reversal of 243041395968 is 869593140342.

243041395968 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 41 + 3 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 548625955 + ... + 548626397.

It is an arithmetic number, because the mean of its divisors is an integer number (816782400).

Almost surely, 2^243041395968 is an apocalyptic number.

243041395968 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 243041395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470466662400).

243041395968 is an abundant number, since it is smaller than the sum of its proper divisors (697891928832).

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

243041395968 is a wasteful number, since it uses less digits than its factorization.

243041395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 243041395968 in words is "two hundred forty-three billion, forty-one million, three hundred ninety-five thousand, nine hundred sixty-eight".