351413351435223 has 48 divisors (see below), whose sum is σ = 633293016585216. Its totient is φ = 182424102851520.

The previous prime is 351413351435213. The next prime is 351413351435261. The reversal of 351413351435223 is 322534153314153.

351413351435223 is a `hidden beast` number, since 3 + 5 + 1 + 4 + 1 + 33 + 51 + 43 + 522 + 3 = 666.

It is not a de Polignac number, because 351413351435223 - 2¹³ = 351413351427031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351413351435213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177190240 + ... + 179162517.

It is an arithmetic number, because the mean of its divisors is an integer number (13193604512192).

Almost surely, 2^{351413351435223} is an apocalyptic number.

351413351435223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

351413351435223 is a deficient number, since it is larger than the sum of its proper divisors (281879665149993).

351413351435223 is a wasteful number, since it uses less digits than its factorization.

351413351435223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356354204 (or 356354201 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 351413351435223 in words is "three hundred fifty-one trillion, four hundred thirteen billion, three hundred fifty-one million, four hundred thirty-five thousand, two hundred twenty-three".