242517122568 has 108 divisors (see below), whose sum is σ = 764144834895. Its totient is φ = 69282249120.

The previous prime is 242517122563. The next prime is 242517122623. The reversal of 242517122568 is 865221715242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

242517122568 is a `hidden beast` number, since 2 + 4 + 2 + 517 + 122 + 5 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121258561284 + 121258561284 = 348222^2 + 348222^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=348222.

It is not an unprimeable number, because it can be changed into a prime (242517122563) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29246503 + ... + 29254793.

Almost surely, 2^242517122568 is an apocalyptic number.

242517122568 is a gapful number since it is divisible by the number (28) 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 242517122568

242517122568 is an abundant number, since it is smaller than the sum of its proper divisors (521627712327).

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

242517122568 is an frugal number, since it uses more digits than its factorization.

242517122568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16608 (or 8303 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

It can be divided in two parts, 242517 and 122568, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 242517122568 in words is "two hundred forty-two billion, five hundred seventeen million, one hundred twenty-two thousand, five hundred sixty-eight".