353244444442353 has 64 divisors (see below), whose sum is σ = 562490701267200. Its totient is φ = 218439390781440.

The previous prime is 353244444442339. The next prime is 353244444442361.

353244444442353 is a `hidden beast` number, since 3 + 5 + 3 + 244 + 4 + 4 + 4 + 4 + 42 + 353 = 666.

353244444442353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353244444442353 - 2⁵ = 353244444442321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 353244444442353.

It is not an unprimeable number, because it can be changed into a prime (353244444443353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29295328 + ... + 39556353.

It is an arithmetic number, because the mean of its divisors is an integer number (8788917207300).

Almost surely, 2^{353244444442353} is an apocalyptic number.

It is an amenable number.

353244444442353 is a deficient number, since it is larger than the sum of its proper divisors (209246256824847).

353244444442353 is a wasteful number, since it uses less digits than its factorization.

353244444442353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68851919 (or 68851913 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

The spelling of 353244444442353 in words is "three hundred fifty-three trillion, two hundred forty-four billion, four hundred forty-four million, four hundred forty-two thousand, three hundred fifty-three".