352207827841 has 9 divisors (see below), whose sum is σ = 355078939971. Its totient is φ = 349359760512.

The previous prime is 352207827827. The next prime is 352207827899. The reversal of 352207827841 is 148728702253.

The square root of 352207827841 is 593471.

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., 337590050625 + 14617777216 = 581025^2 + 120904^2 .

It is not a de Polignac number, because 352207827841 - 2¹⁷ = 352207696769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352207827241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75368481 + ... + 75373153.

Almost surely, 2^352207827841 is an apocalyptic number.

352207827841 is the 593471-st square number.

352207827841 is the 296736-th centered octagonal number.

It is an amenable number.

352207827841 is a deficient number, since it is larger than the sum of its proper divisors (2871112130).

352207827841 is an frugal number, since it uses more digits than its factorization.

352207827841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

Multiplying 352207827841 by its sum of digits (49), we get a square (17258183564209 = 4154297²).

The spelling of 352207827841 in words is "three hundred fifty-two billion, two hundred seven million, eight hundred twenty-seven thousand, eight hundred forty-one".