238802410152289 has 27 divisors (see below), whose sum is σ = 242128268646291. Its totient is φ = 235522106023680.

The previous prime is 238802410152283. The next prime is 238802410152323. The reversal of 238802410152289 is 982251014208832.

The square root of 238802410152289 is 15453233.

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

It can be written as a sum of positive squares in only one way, i.e., 145935266854689 + 92867143297600 = 12080367^2 + 9636760^2 .

It is not a de Polignac number, because 238802410152289 - 2⁹ = 238802410151777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238802410152283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 531853919937 + ... + 531853920385.

Almost surely, 2^{238802410152289} is an apocalyptic number.

238802410152289 is the 15453233-rd square number.

238802410152289 is the 7726617-th centered octagonal number.

It is an amenable number.

238802410152289 is a deficient number, since it is larger than the sum of its proper divisors (3325858494002).

238802410152289 is an frugal number, since it uses more digits than its factorization.

238802410152289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 238802410152289 in words is "two hundred thirty-eight trillion, eight hundred two billion, four hundred ten million, one hundred fifty-two thousand, two hundred eighty-nine".