346365563643 has 16 divisors (see below), whose sum is σ = 559782729600. Its totient is φ = 209918523240.

The previous prime is 346365563629. The next prime is 346365563779.

It is a happy number.

346365563643 is a `hidden beast` number, since 3 + 4 + 6 + 36 + 5 + 563 + 6 + 43 = 666.

346365563643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346365563643 - 2⁵ = 346365563611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346365563643.

It is not an unprimeable number, because it can be changed into a prime (346365563603) 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, 583106713 + ... + 583107306.

It is an arithmetic number, because the mean of its divisors is an integer number (34986420600).

Almost surely, 2^346365563643 is an apocalyptic number.

346365563643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346365563643 is a deficient number, since it is larger than the sum of its proper divisors (213417165957).

346365563643 is a wasteful number, since it uses less digits than its factorization.

346365563643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166214039 (or 1166214033 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 346365563643 in words is "three hundred forty-six billion, three hundred sixty-five million, five hundred sixty-three thousand, six hundred forty-three".