346310242013643 has 16 divisors (see below), whose sum is σ = 474235426108416. Its totient is φ = 224629507571040.

The previous prime is 346310242013627. The next prime is 346310242013647.

346310242013643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346310242013643 - 2⁴ = 346310242013627 is a prime.

It is a super-3 number, since 3×346310242013643³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346310242013595 and 346310242013604.

It is not an unprimeable number, because it can be changed into a prime (346310242013647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22886971 + ... + 34877412.

It is an arithmetic number, because the mean of its divisors is an integer number (29639714131776).

Almost surely, 2^{346310242013643} is an apocalyptic number.

346310242013643 is a deficient number, since it is larger than the sum of its proper divisors (127925184094773).

346310242013643 is a wasteful number, since it uses less digits than its factorization.

346310242013643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57818434.

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 346310242013643 in words is "three hundred forty-six trillion, three hundred ten billion, two hundred forty-two million, thirteen thousand, six hundred forty-three".