242355525553242 has 64 divisors (see below), whose sum is σ = 550082111040000. Its totient is φ = 79058379879360.

The previous prime is 242355525553213. The next prime is 242355525553319.

242355525553242 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 5 + 5 + 52 + 55 + 532 + 4 + 2 = 666.

242355525553242 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20427384 + ... + 30033132.

It is an arithmetic number, because the mean of its divisors is an integer number (8595032985000).

Almost surely, 2^{242355525553242} is an apocalyptic number.

242355525553242 is an abundant number, since it is smaller than the sum of its proper divisors (307726585486758).

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

242355525553242 is a wasteful number, since it uses less digits than its factorization.

242355525553242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615748 (or 9615742 counting only the distinct ones).

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

The spelling of 242355525553242 in words is "two hundred forty-two trillion, three hundred fifty-five billion, five hundred twenty-five million, five hundred fifty-three thousand, two hundred forty-two".