164359953461 has 8 divisors (see below), whose sum is σ = 179311791744. Its totient is φ = 149409785920.

The previous prime is 164359953437. The next prime is 164359953467.

164359953461 is nontrivially palindromic in base 10.

164359953461 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 a cyclic number.

It is not a de Polignac number, because 164359953461 - 2²² = 164355759157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164359953397 and 164359953406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164359953467) 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, 207380 + ... + 609693.

It is an arithmetic number, because the mean of its divisors is an integer number (22413973968).

Almost surely, 2^164359953461 is an apocalyptic number.

164359953461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164359953461 is a deficient number, since it is larger than the sum of its proper divisors (14951838283).

164359953461 is a wasteful number, since it uses less digits than its factorization.

164359953461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835371.

The product of its digits is 10497600, while the sum is 56.

The spelling of 164359953461 in words is "one hundred sixty-four billion, three hundred fifty-nine million, nine hundred fifty-three thousand, four hundred sixty-one".