164995599461 has 16 divisors (see below), whose sum is σ = 216535580160. Its totient is φ = 121801261680.

The previous prime is 164995599413. The next prime is 164995599521.

164995599461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164995599461 - 2¹⁰ = 164995598437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164995599391 and 164995599400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164995599661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56388011 + ... + 56390936.

It is an arithmetic number, because the mean of its divisors is an integer number (13533473760).

Almost surely, 2^164995599461 is an apocalyptic number.

164995599461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164995599461 is a deficient number, since it is larger than the sum of its proper divisors (51539980699).

164995599461 is a wasteful number, since it uses less digits than its factorization.

164995599461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112778984.

The product of its digits is 94478400, while the sum is 68.

The spelling of 164995599461 in words is "one hundred sixty-four billion, nine hundred ninety-five million, five hundred ninety-nine thousand, four hundred sixty-one".