164412610210213 has 8 divisors (see below), whose sum is σ = 164660800411800. Its totient is φ = 164164549855488.

The previous prime is 164412610210207. The next prime is 164412610210223. The reversal of 164412610210213 is 312012016214461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1861279018369 + 162551331191844 = 1364287^2 + 12749562^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164412610210213 - 2⁵ = 164412610210181 is a prime.

It is a super-3 number, since 3×164412610210213³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164412610210223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29927248 + ... + 34992361.

It is an arithmetic number, because the mean of its divisors is an integer number (20582600051475).

Almost surely, 2^{164412610210213} is an apocalyptic number.

It is an amenable number.

164412610210213 is a deficient number, since it is larger than the sum of its proper divisors (248190201587).

164412610210213 is an equidigital number, since it uses as much as digits as its factorization.

164412610210213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64923431.

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 164412610210213 its reverse (312012016214461), we get a palindrome (476424626424674).

The spelling of 164412610210213 in words is "one hundred sixty-four trillion, four hundred twelve billion, six hundred ten million, two hundred ten thousand, two hundred thirteen".