352141323201 has 24 divisors (see below), whose sum is σ = 521200830696. Its totient is φ = 228970748160.

The previous prime is 352141323181. The next prime is 352141323203. The reversal of 352141323201 is 102323141253.

352141323201 is a `hidden beast` number, since 3 + 5 + 21 + 413 + 23 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5673704976 + 346467618225 = 75324^2 + 588615^2 .

It is not a de Polignac number, because 352141323201 - 2⁷ = 352141323073 is a prime.

It is a super-2 number, since 2×352141323201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352141323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201131 + ... + 1465263.

It is an arithmetic number, because the mean of its divisors is an integer number (21716701279).

Almost surely, 2^352141323201 is an apocalyptic number.

It is an amenable number.

352141323201 is a deficient number, since it is larger than the sum of its proper divisors (169059507495).

352141323201 is a wasteful number, since it uses less digits than its factorization.

352141323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267793 (or 267790 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 352141323201 its reverse (102323141253), we get a palindrome (454464464454).

The spelling of 352141323201 in words is "three hundred fifty-two billion, one hundred forty-one million, three hundred twenty-three thousand, two hundred one".