243864468342 has 512 divisors, whose sum is σ = 698906880000. Its totient is φ = 62008934400.

The previous prime is 243864468317. The next prime is 243864468373.

243864468342 is a `hidden beast` number, since 2 + 4 + 3 + 86 + 446 + 83 + 42 = 666.

243864468342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 228123384 + ... + 228124452.

It is an arithmetic number, because the mean of its divisors is an integer number (1365052500).

Almost surely, 2^243864468342 is an apocalyptic number.

243864468342 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 243864468342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349453440000).

243864468342 is an abundant number, since it is smaller than the sum of its proper divisors (455042411658).

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

243864468342 is a wasteful number, since it uses less digits than its factorization.

243864468342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 243864468342 in words is "two hundred forty-three billion, eight hundred sixty-four million, four hundred sixty-eight thousand, three hundred forty-two".