242885841077616 has 240 divisors, whose sum is σ = 709406267188224. Its totient is φ = 70943443200000.

The previous prime is 242885841077597. The next prime is 242885841077617. The reversal of 242885841077616 is 616770148588242.

It is a super-2 number, since 2×242885841077616² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242885841077617) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1031082600 + ... + 1031318136.

Almost surely, 2^{242885841077616} 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 242885841077616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354703133594112).

242885841077616 is an abundant number, since it is smaller than the sum of its proper divisors (466520426110608).

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

242885841077616 is a wasteful number, since it uses less digits than its factorization.

242885841077616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236092 (or 235835 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 69.

The spelling of 242885841077616 in words is "two hundred forty-two trillion, eight hundred eighty-five billion, eight hundred forty-one million, seventy-seven thousand, six hundred sixteen".