346636101636643 has 16 divisors (see below), whose sum is σ = 449083208600320. Its totient is φ = 259826713544736.

The previous prime is 346636101636607. The next prime is 346636101636683.

346636101636643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346636101636643 - 2¹³ = 346636101628451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346636101636683) 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, 100241785905 + ... + 100241789362.

It is an arithmetic number, because the mean of its divisors is an integer number (28067700537520).

Almost surely, 2^{346636101636643} is an apocalyptic number.

346636101636643 is a deficient number, since it is larger than the sum of its proper divisors (102447106963677).

346636101636643 is a wasteful number, since it uses less digits than its factorization.

346636101636643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200483575306.

The product of its (nonzero) digits is 60466176, while the sum is 58.

The spelling of 346636101636643 in words is "three hundred forty-six trillion, six hundred thirty-six billion, one hundred one million, six hundred thirty-six thousand, six hundred forty-three".