353424101424353 has 2 divisors, whose sum is σ = 353424101424354. Its totient is φ = 353424101424352.

The previous prime is 353424101424319. The next prime is 353424101424377.

353424101424353 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306179759028049 + 47244342396304 = 17497993^2 + 6873452^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 353424101424353 - 2¹⁴ = 353424101407969 is a prime.

It is a super-2 number, since 2×353424101424353² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (353424101484353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 176712050712176 + 176712050712177.

It is an arithmetic number, because the mean of its divisors is an integer number (176712050712177).

Almost surely, 2^{353424101424353} is an apocalyptic number.

It is an amenable number.

353424101424353 is a deficient number, since it is larger than the sum of its proper divisors (1).

353424101424353 is an equidigital number, since it uses as much as digits as its factorization.

353424101424353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 44.

It can be divided in two parts, 35342410 and 1424353, that added together give a palindrome (36766763).

The spelling of 353424101424353 in words is "three hundred fifty-three trillion, four hundred twenty-four billion, one hundred one million, four hundred twenty-four thousand, three hundred fifty-three".