346444404444643 has 8 divisors (see below), whose sum is σ = 347559555417536. Its totient is φ = 345329306337600.

The previous prime is 346444404444641. The next prime is 346444404444653.

346444404444643 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 346444404444643 - 2¹ = 346444404444641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346444404444641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67803 + ... + 26322868.

It is an arithmetic number, because the mean of its divisors is an integer number (43444944427192).

Almost surely, 2^{346444404444643} is an apocalyptic number.

346444404444643 is a deficient number, since it is larger than the sum of its proper divisors (1115150972893).

346444404444643 is a wasteful number, since it uses less digits than its factorization.

346444404444643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432925.

The product of its (nonzero) digits is 339738624, while the sum is 58.

The spelling of 346444404444643 in words is "three hundred forty-six trillion, four hundred forty-four billion, four hundred four million, four hundred forty-four thousand, six hundred forty-three".