164456654461 has 8 divisors (see below), whose sum is σ = 180697960800. Its totient is φ = 148430465040.

The previous prime is 164456654441. The next prime is 164456654471.

164456654461 is nontrivially palindromic in base 10.

164456654461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 164456654461 - 2¹¹ = 164456652413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164456654399 and 164456654408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164456654441) 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 7 ways as a sum of consecutive naturals, for example, 53777626 + ... + 53780683.

It is an arithmetic number, because the mean of its divisors is an integer number (22587245100).

Almost surely, 2^164456654461 is an apocalyptic number.

164456654461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164456654461 is a deficient number, since it is larger than the sum of its proper divisors (16241306339).

164456654461 is a wasteful number, since it uses less digits than its factorization.

164456654461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107558459.

The product of its digits is 8294400, while the sum is 52.

The spelling of 164456654461 in words is "one hundred sixty-four billion, four hundred fifty-six million, six hundred fifty-four thousand, four hundred sixty-one".