164501105461 has 16 divisors (see below), whose sum is σ = 215886620160. Its totient is φ = 121436221680.

The previous prime is 164501105459. The next prime is 164501105491.

164501105461 is nontrivially palindromic in base 10.

164501105461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164501105461 - 2¹ = 164501105459 is a prime.

It is a super-2 number, since 2×164501105461² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164501105491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56219011 + ... + 56221936.

It is an arithmetic number, because the mean of its divisors is an integer number (13492913760).

Almost surely, 2^164501105461 is an apocalyptic number.

164501105461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164501105461 is a deficient number, since it is larger than the sum of its proper divisors (51385514699).

164501105461 is a wasteful number, since it uses less digits than its factorization.

164501105461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112440984.

The product of its (nonzero) digits is 14400, while the sum is 34.

It can be divided in two parts, 164501 and 105461, that added together give a palindrome (269962).

The spelling of 164501105461 in words is "one hundred sixty-four billion, five hundred one million, one hundred five thousand, four hundred sixty-one".