242536646144 has 80 divisors (see below), whose sum is σ = 523429915008. Its totient is φ = 111606792192.

The previous prime is 242536646137. The next prime is 242536646147. The reversal of 242536646144 is 441646635242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242536646147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189009 + ... + 2297135.

Almost surely, 2^242536646144 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 242536646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261714957504).

242536646144 is an abundant number, since it is smaller than the sum of its proper divisors (280893268864).

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

242536646144 is a wasteful number, since it uses less digits than its factorization.

242536646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108495 (or 108479 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 47.

The spelling of 242536646144 in words is "two hundred forty-two billion, five hundred thirty-six million, six hundred forty-six thousand, one hundred forty-four".