242547561216 has 252 divisors, whose sum is σ = 743617522200. Its totient is φ = 78874767360.

The previous prime is 242547561211. The next prime is 242547561227. The reversal of 242547561216 is 612165745242.

242547561216 is a `hidden beast` number, since 2 + 4 + 25 + 4 + 7 + 5 + 612 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (242547561211) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7635735 + ... + 7667433.

Almost surely, 2^242547561216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242547561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371808761100).

242547561216 is an abundant number, since it is smaller than the sum of its proper divisors (501069960984).

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

242547561216 is an frugal number, since it uses more digits than its factorization.

242547561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31774 (or 31745 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 242547561216 in words is "two hundred forty-two billion, five hundred forty-seven million, five hundred sixty-one thousand, two hundred sixteen".