242334434521152 has 84 divisors (see below), whose sum is σ = 695598784342956. Its totient is φ = 80662911974400.

The previous prime is 242334434521099. The next prime is 242334434521187. The reversal of 242334434521152 is 251125434433242.

242334434521152 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 4 + 43 + 452 + 1 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115215664628736 + 127118769892416 = 10733856^2 + 11274696^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242334434521098 and 242334434521107.

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, 299681463 + ... + 300489014.

Almost surely, 2^{242334434521152} is an apocalyptic number.

It is an amenable number.

242334434521152 is an abundant number, since it is smaller than the sum of its proper divisors (453264349821804).

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

242334434521152 is a wasteful number, since it uses less digits than its factorization.

242334434521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600171196 (or 600171183 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 242334434521152 its reverse (251125434433242), we get a palindrome (493459868954394).

The spelling of 242334434521152 in words is "two hundred forty-two trillion, three hundred thirty-four billion, four hundred thirty-four million, five hundred twenty-one thousand, one hundred fifty-two".