243716928000 has 1920 divisors, whose sum is σ = 1065383953920. Its totient is φ = 48306585600.

The previous prime is 243716927957. The next prime is 243716928017. The reversal of 243716928000 is 829617342.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6586943982 + ... + 6586944018.

It is an arithmetic number, because the mean of its divisors is an integer number (554887476).

Almost surely, 2^243716928000 is an apocalyptic number.

243716928000 is a gapful number since it is divisible by the number (20) 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 243716928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532691976960).

243716928000 is an abundant number, since it is smaller than the sum of its proper divisors (821667025920).

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

243716928000 is a wasteful number, since it uses less digits than its factorization.

243716928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 243716928000 in words is "two hundred forty-three billion, seven hundred sixteen million, nine hundred twenty-eight thousand".