352745531073441 has 27 divisors (see below), whose sum is σ = 560053346965203. Its totient is φ = 213784794717120.

The previous prime is 352745531073427. The next prime is 352745531073449. The reversal of 352745531073441 is 144370135547253.

The square root of 352745531073441 is 18781521.

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

352745531073441 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 4 + 553 + 10 + 7 + 34 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25580784485025 + 327164746588416 = 5057745^2 + 18087696^2 .

It is not a de Polignac number, because 352745531073441 - 2³⁹ = 352195775259553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352745531073449) 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, 619505625 + ... + 620074761.

Almost surely, 2^{352745531073441} is an apocalyptic number.

352745531073441 is the 18781521-st square number.

352745531073441 is the 9390761-st centered octagonal number.

It is an amenable number.

352745531073441 is a deficient number, since it is larger than the sum of its proper divisors (207307815891762).

352745531073441 is an frugal number, since it uses more digits than its factorization.

352745531073441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138302 (or 569151 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 352745531073441 in words is "three hundred fifty-two trillion, seven hundred forty-five billion, five hundred thirty-one million, seventy-three thousand, four hundred forty-one".