239304780531441 has 45 divisors (see below), whose sum is σ = 358069738861659. Its totient is φ = 159273755784000.

The previous prime is 239304780531413. The next prime is 239304780531451. The reversal of 239304780531441 is 144135087403932.

The square root of 239304780531441 is 15469479.

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

239304780531441 is a `hidden beast` number, since 2 + 3 + 9 + 30 + 4 + 78 + 0 + 531 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41980952691441 + 197323827840000 = 6479271^2 + 14047200^2 .

It is a de Polignac number, because none of the positive numbers 2^k-239304780531441 is a prime.

It is a super-2 number, since 2×239304780531441² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (239304780531451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122657498016 + ... + 122657499966.

Almost surely, 2^{239304780531441} is an apocalyptic number.

239304780531441 is the 15469479-th square number.

239304780531441 is the 7734740-th centered octagonal number.

It is an amenable number.

239304780531441 is a deficient number, since it is larger than the sum of its proper divisors (118764958330218).

239304780531441 is an frugal number, since it uses more digits than its factorization.

239304780531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 239304780531441 in words is "two hundred thirty-nine trillion, three hundred four billion, seven hundred eighty million, five hundred thirty-one thousand, four hundred forty-one".