346413363314643 has 64 divisors (see below), whose sum is σ = 536909100134400. Its totient is φ = 220492208160000.

The previous prime is 346413363314617. The next prime is 346413363314657.

346413363314643 is a `hidden beast` number, since 3 + 4 + 64 + 1 + 33 + 63 + 31 + 464 + 3 = 666.

346413363314643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346413363314643 - 2⁸ = 346413363314387 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346413363314643.

It is not an unprimeable number, because it can be changed into a prime (346413363318643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16463488 + ... + 31046306.

It is an arithmetic number, because the mean of its divisors is an integer number (8389204689600).

Almost surely, 2^{346413363314643} is an apocalyptic number.

346413363314643 is a deficient number, since it is larger than the sum of its proper divisors (190495736819757).

346413363314643 is a wasteful number, since it uses less digits than its factorization.

346413363314643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583241 (or 14583235 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 54.

The spelling of 346413363314643 in words is "three hundred forty-six trillion, four hundred thirteen billion, three hundred sixty-three million, three hundred fourteen thousand, six hundred forty-three".