242638011889 has 27 divisors (see below), whose sum is σ = 305690708673. Its totient is φ = 191941862112.

The previous prime is 242638011883. The next prime is 242638011907. The reversal of 242638011889 is 988110836242.

The square root of 242638011889 is 492583.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 98481109489 + 144156902400 = 313817^2 + 379680^2 .

It is not a de Polignac number, because 242638011889 - 2⁵ = 242638011857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242638011883) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 44822347 + ... + 44827759.

It is an arithmetic number, because the mean of its divisors is an integer number (11321878099).

Almost surely, 2^242638011889 is an apocalyptic number.

242638011889 is the 492583-rd square number.

242638011889 is the 246292-nd centered octagonal number.

It is an amenable number.

242638011889 is a deficient number, since it is larger than the sum of its proper divisors (63052696784).

242638011889 is an frugal number, since it uses more digits than its factorization.

242638011889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 242638011889 in words is "two hundred forty-two billion, six hundred thirty-eight million, eleven thousand, eight hundred eighty-nine".