353412214353 has 96 divisors (see below), whose sum is σ = 578580672384. Its totient is φ = 205994880000.

The previous prime is 353412214343. The next prime is 353412214381.

353412214353 is a `hidden beast` number, since 3 + 5 + 341 + 221 + 43 + 53 = 666.

353412214353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353412214353 - 2⁶ = 353412214289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353412214303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134837383 + ... + 134840003.

It is an arithmetic number, because the mean of its divisors is an integer number (6026882004).

Almost surely, 2^353412214353 is an apocalyptic number.

353412214353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

353412214353 is a deficient number, since it is larger than the sum of its proper divisors (225168458031).

353412214353 is a wasteful number, since it uses less digits than its factorization.

353412214353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3084 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 353412 and 214353, that added together give a palindrome (567765).

The spelling of 353412214353 in words is "three hundred fifty-three billion, four hundred twelve million, two hundred fourteen thousand, three hundred fifty-three".