164563241633416 has 128 divisors (see below), whose sum is σ = 332272475308800. Its totient is φ = 76169033441280.

The previous prime is 164563241633311. The next prime is 164563241633437. The reversal of 164563241633416 is 614336142365461.

164563241633416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164563241633416² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2988933760 + ... + 2988988816.

It is an arithmetic number, because the mean of its divisors is an integer number (2595878713350).

Almost surely, 2^{164563241633416} is an apocalyptic number.

It is an amenable number.

164563241633416 is an abundant number, since it is smaller than the sum of its proper divisors (167709233675384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164563241633416 is a wasteful number, since it uses less digits than its factorization.

164563241633416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56639 (or 56635 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 55.

Adding to 164563241633416 its reverse (614336142365461), we get a palindrome (778899383998877).

The spelling of 164563241633416 in words is "one hundred sixty-four trillion, five hundred sixty-three billion, two hundred forty-one million, six hundred thirty-three thousand, four hundred sixteen".