346401104643 has 48 divisors (see below), whose sum is σ = 557718160896. Its totient is φ = 205377318720.

The previous prime is 346401104597. The next prime is 346401104669.

346401104643 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 0 + 1 + 1 + 0 + 4 + 643 = 666.

346401104643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346401104643 - 2²¹ = 346399007491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346401104598 and 346401104607.

It is not an unprimeable number, because it can be changed into a prime (346401104683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10653096 + ... + 10685562.

It is an arithmetic number, because the mean of its divisors is an integer number (11619128352).

Almost surely, 2^346401104643 is an apocalyptic number.

346401104643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346401104643 is a deficient number, since it is larger than the sum of its proper divisors (211317056253).

346401104643 is a wasteful number, since it uses less digits than its factorization.

346401104643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34824 (or 34821 counting only the distinct ones).

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

The spelling of 346401104643 in words is "three hundred forty-six billion, four hundred one million, one hundred four thousand, six hundred forty-three".