164513536011 has 48 divisors (see below), whose sum is σ = 261265036032. Its totient is φ = 98925883200.

The previous prime is 164513536001. The next prime is 164513536027. The reversal of 164513536011 is 110635315461.

164513536011 is a `hidden beast` number, since 1 + 6 + 45 + 1 + 3 + 5 + 3 + 601 + 1 = 666.

It is not a de Polignac number, because 164513536011 - 2¹⁹ = 164513011723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164513536001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9883666 + ... + 9900296.

It is an arithmetic number, because the mean of its divisors is an integer number (5443021584).

Almost surely, 2^164513536011 is an apocalyptic number.

164513536011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164513536011 is a deficient number, since it is larger than the sum of its proper divisors (96751500021).

164513536011 is a wasteful number, since it uses less digits than its factorization.

164513536011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17424 (or 17421 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 164513536011 in words is "one hundred sixty-four billion, five hundred thirteen million, five hundred thirty-six thousand, eleven".