242553525355242 has 128 divisors (see below), whose sum is σ = 545383283155200. Its totient is φ = 79897441996800.

The previous prime is 242553525355117. The next prime is 242553525355301.

242553525355242 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 5 + 3 + 52 + 535 + 52 + 4 + 2 = 666.

242553525355242 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12711773142 + ... + 12711792222.

It is an arithmetic number, because the mean of its divisors is an integer number (4260806899650).

Almost surely, 2^{242553525355242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242553525355242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272691641577600).

242553525355242 is an abundant number, since it is smaller than the sum of its proper divisors (302829757799958).

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

242553525355242 is a wasteful number, since it uses less digits than its factorization.

242553525355242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22709 (or 22703 counting only the distinct ones).

The product of its digits is 72000000, while the sum is 54.

The spelling of 242553525355242 in words is "two hundred forty-two trillion, five hundred fifty-three billion, five hundred twenty-five million, three hundred fifty-five thousand, two hundred forty-two".