164404404461 has 4 divisors (see below), whose sum is σ = 179350259424. Its totient is φ = 149458549500.

The previous prime is 164404404407. The next prime is 164404404473.

164404404461 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 164404404461 - 2²² = 164400210157 is a prime.

It is a super-3 number, since 3×164404404461³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404404401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7472927465 + ... + 7472927486.

It is an arithmetic number, because the mean of its divisors is an integer number (44837564856).

Almost surely, 2^164404404461 is an apocalyptic number.

164404404461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164404404461 is a deficient number, since it is larger than the sum of its proper divisors (14945854963).

164404404461 is a wasteful number, since it uses less digits than its factorization.

164404404461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14945854962.

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 164404 and 404461, that added together give a palindrome (568865).

The spelling of 164404404461 in words is "one hundred sixty-four billion, four hundred four million, four hundred four thousand, four hundred sixty-one".