243338121936 has 360 divisors, whose sum is σ = 851174378496. Its totient is φ = 63537177600.

The previous prime is 243338121931. The next prime is 243338121959. The reversal of 243338121936 is 639121833342.

243338121936 is a `hidden beast` number, since 2 + 433 + 3 + 8 + 121 + 93 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243338121891 and 243338121900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243338121931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17198481 + ... + 17212623.

Almost surely, 2^243338121936 is an apocalyptic number.

243338121936 is a gapful number since it is divisible by the number (26) 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 243338121936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425587189248).

243338121936 is an abundant number, since it is smaller than the sum of its proper divisors (607836256560).

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

243338121936 is a wasteful number, since it uses less digits than its factorization.

243338121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291 (or 14269 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 243338121936 in words is "two hundred forty-three billion, three hundred thirty-eight million, one hundred twenty-one thousand, nine hundred thirty-six".