243948672000 has 2112 divisors, whose sum is σ = 1071238791168. Its totient is φ = 54743040000.

The previous prime is 243948671983. The next prime is 243948672043. The reversal of 243948672000 is 276849342.

243948672000 is a `hidden beast` number, since 2 + 439 + 4 + 8 + 6 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7869311985 + ... + 7869312015.

Almost surely, 2^243948672000 is an apocalyptic number.

243948672000 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 243948672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535619395584).

243948672000 is an abundant number, since it is smaller than the sum of its proper divisors (827290119168).

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

243948672000 is a wasteful number, since it uses less digits than its factorization.

243948672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 243948672000 in words is "two hundred forty-three billion, nine hundred forty-eight million, six hundred seventy-two thousand".