243405504342 has 192 divisors, whose sum is σ = 745357616640. Its totient is φ = 55287360000.

The previous prime is 243405504317. The next prime is 243405504343.

243405504342 is a `hidden beast` number, since 24 + 3 + 4 + 0 + 550 + 43 + 42 = 666.

243405504342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243405504297 and 243405504306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243405504343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13159 + ... + 697842.

It is an arithmetic number, because the mean of its divisors is an integer number (3882070920).

Almost surely, 2^243405504342 is an apocalyptic number.

243405504342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243405504342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372678808320).

243405504342 is an abundant number, since it is smaller than the sum of its proper divisors (501952112298).

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

243405504342 is a wasteful number, since it uses less digits than its factorization.

243405504342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711059 (or 711056 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 243405 and 504342, that added together give a palindrome (747747).

The spelling of 243405504342 in words is "two hundred forty-three billion, four hundred five million, five hundred four thousand, three hundred forty-two".