243086452224 has 960 divisors, whose sum is σ = 893417817600. Its totient is φ = 57224724480.

The previous prime is 243086452211. The next prime is 243086452289. The reversal of 243086452224 is 422254680342.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641388867 + ... + 641389245.

It is an arithmetic number, because the mean of its divisors is an integer number (930643560).

Almost surely, 2^243086452224 is an apocalyptic number.

243086452224 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 243086452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446708908800).

243086452224 is an abundant number, since it is smaller than the sum of its proper divisors (650331365376).

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

243086452224 is a wasteful number, since it uses less digits than its factorization.

243086452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 243086452224 in words is "two hundred forty-three billion, eighty-six million, four hundred fifty-two thousand, two hundred twenty-four".