164123505321461 has 16 divisors (see below), whose sum is σ = 188506260979200. Its totient is φ = 139976086548480.

The previous prime is 164123505321427. The next prime is 164123505321467.

164123505321461 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-164123505321461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164123505321467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48432686 + ... + 51710463.

It is an arithmetic number, because the mean of its divisors is an integer number (11781641311200).

Almost surely, 2^{164123505321461} is an apocalyptic number.

It is an amenable number.

164123505321461 is a deficient number, since it is larger than the sum of its proper divisors (24382755657739).

164123505321461 is a wasteful number, since it uses less digits than its factorization.

164123505321461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100144324.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 164123505321461 in words is "one hundred sixty-four trillion, one hundred twenty-three billion, five hundred five million, three hundred twenty-one thousand, four hundred sixty-one".