346052464250643 has 16 divisors (see below), whose sum is σ = 512690863844640. Its totient is φ = 230692396937472.

The previous prime is 346052464250639. The next prime is 346052464250677.

346052464250643 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 52 + 4 + 6 + 42 + 506 + 43 = 666.

346052464250643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346052464250643 - 2² = 346052464250639 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346052464250643.

It is not an unprimeable number, because it can be changed into a prime (346052464250443) 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, 256144246 + ... + 257491707.

It is an arithmetic number, because the mean of its divisors is an integer number (32043178990290).

Almost surely, 2^{346052464250643} is an apocalyptic number.

346052464250643 is a deficient number, since it is larger than the sum of its proper divisors (166638399593997).

346052464250643 is a wasteful number, since it uses less digits than its factorization.

346052464250643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513660915 (or 513660909 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 346052464250643 in words is "three hundred forty-six trillion, fifty-two billion, four hundred sixty-four million, two hundred fifty thousand, six hundred forty-three".