353312383213353 has 32 divisors (see below), whose sum is σ = 485763651659520. Its totient is φ = 228350430950400.

The previous prime is 353312383213259. The next prime is 353312383213429.

353312383213353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353312383213353 - 2⁴² = 348914336702249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353312383213453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60822676 + ... + 66377877.

It is an arithmetic number, because the mean of its divisors is an integer number (15180114114360).

Almost surely, 2^{353312383213353} is an apocalyptic number.

It is an amenable number.

353312383213353 is a deficient number, since it is larger than the sum of its proper divisors (132451268446167).

353312383213353 is a wasteful number, since it uses less digits than its factorization.

353312383213353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127200849.

The product of its digits is 5248800, while the sum is 48.

The spelling of 353312383213353 in words is "three hundred fifty-three trillion, three hundred twelve billion, three hundred eighty-three million, two hundred thirteen thousand, three hundred fifty-three".