243213416784 has 120 divisors (see below), whose sum is σ = 736740236232. Its totient is φ = 74454912000.

The previous prime is 243213416783. The next prime is 243213416791. The reversal of 243213416784 is 487614312342.

243213416784 is a `hidden beast` number, since 2 + 432 + 134 + 1 + 6 + 7 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33841281600 + 209372135184 = 183960^2 + 457572^2 .

It is a super-2 number, since 2×243213416784² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243213416783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39034 + ... + 698534.

Almost surely, 2^243213416784 is an apocalyptic number.

243213416784 is a gapful number since it is divisible by the number (24) 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 243213416784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368370118116).

243213416784 is an abundant number, since it is smaller than the sum of its proper divisors (493526819448).

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

243213416784 is a wasteful number, since it uses less digits than its factorization.

243213416784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659725 (or 659716 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 243213416784 in words is "two hundred forty-three billion, two hundred thirteen million, four hundred sixteen thousand, seven hundred eighty-four".