242166545125524 has 36 divisors (see below), whose sum is σ = 623693083205556. Its totient is φ = 79199121675648.

The previous prime is 242166545125451. The next prime is 242166545125567. The reversal of 242166545125524 is 425521545661242.

242166545125524 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 6 + 6 + 54 + 512 + 55 + 24 = 666.

242166545125524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 118785323681424 + 123381221444100 = 10898868^2 + 11107710^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63460832769 + ... + 63460836584.

It is an arithmetic number, because the mean of its divisors is an integer number (17324807866821).

Almost surely, 2^{242166545125524} is an apocalyptic number.

It is an amenable number.

242166545125524 is an abundant number, since it is smaller than the sum of its proper divisors (381526538080032).

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

242166545125524 is a wasteful number, since it uses less digits than its factorization.

242166545125524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126921669416 (or 126921669411 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 242166545125524 in words is "two hundred forty-two trillion, one hundred sixty-six billion, five hundred forty-five million, one hundred twenty-five thousand, five hundred twenty-four".