164104401461 has 16 divisors (see below), whose sum is σ = 220335980928. Its totient is φ = 118037131200.

The previous prime is 164104401451. The next prime is 164104401467.

164104401461 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 164104401461 - 2³⁰ = 163030659637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164104401467) 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, 81969230 + ... + 81971231.

It is an arithmetic number, because the mean of its divisors is an integer number (13770998808).

Almost surely, 2^164104401461 is an apocalyptic number.

164104401461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164104401461 is a deficient number, since it is larger than the sum of its proper divisors (56231579467).

164104401461 is a wasteful number, since it uses less digits than its factorization.

164104401461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163940492.

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 164104 and 401461, that added together give a palindrome (565565).

The spelling of 164104401461 in words is "one hundred sixty-four billion, one hundred four million, four hundred one thousand, four hundred sixty-one".