346221122643 has 36 divisors (see below), whose sum is σ = 560704166568. Its totient is φ = 204159795840.

The previous prime is 346221122617. The next prime is 346221122657.

346221122643 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 2 + 1 + 1 + 2 + 2 + 643 = 666.

346221122643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346221122643 - 2¹⁸ = 346220860499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346221122598 and 346221122607.

It is not an unprimeable number, because it can be changed into a prime (346221122603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1141746 + ... + 1412807.

It is an arithmetic number, because the mean of its divisors is an integer number (15575115738).

Almost surely, 2^346221122643 is an apocalyptic number.

346221122643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346221122643 is a deficient number, since it is larger than the sum of its proper divisors (214483043925).

346221122643 is a wasteful number, since it uses less digits than its factorization.

346221122643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554644 (or 2554604 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 346221 and 122643, that added together give a palindrome (468864).

The spelling of 346221122643 in words is "three hundred forty-six billion, two hundred twenty-one million, one hundred twenty-two thousand, six hundred forty-three".