243825105936 has 80 divisors (see below), whose sum is σ = 647131114688. Its totient is φ = 79050816000.

The previous prime is 243825105929. The next prime is 243825105959. The reversal of 243825105936 is 639501528342.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5413911 + ... + 5458761.

Almost surely, 2^243825105936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243825105936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323565557344).

243825105936 is an abundant number, since it is smaller than the sum of its proper divisors (403306008752).

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

243825105936 is a wasteful number, since it uses less digits than its factorization.

243825105936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47960 (or 47954 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 243825105936 in words is "two hundred forty-three billion, eight hundred twenty-five million, one hundred five thousand, nine hundred thirty-six".