164310013461 has 16 divisors (see below), whose sum is σ = 239028706368. Its totient is φ = 99568358400.

The previous prime is 164310013393. The next prime is 164310013471.

164310013461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164310013461 - 2⁷ = 164310013333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164310013471) 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 15 ways as a sum of consecutive naturals, for example, 86220 + ... + 579701.

It is an arithmetic number, because the mean of its divisors is an integer number (14939294148).

Almost surely, 2^164310013461 is an apocalyptic number.

164310013461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164310013461 is a deficient number, since it is larger than the sum of its proper divisors (74718692907).

164310013461 is a wasteful number, since it uses less digits than its factorization.

164310013461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673412.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 1643100 and 13461, that added together give a palindrome (1656561).

The spelling of 164310013461 in words is "one hundred sixty-four billion, three hundred ten million, thirteen thousand, four hundred sixty-one".