164404464404461 has 16 divisors (see below), whose sum is σ = 167945235494400. Its totient is φ = 160905758658048.

The previous prime is 164404464404443. The next prime is 164404464404471.

164404464404461 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 164404464404461 - 2¹¹ = 164404464402413 is a prime.

It is a super-3 number, since 3×164404464404461³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164404464404399 and 164404464404408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404464404441) 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, 4259626 + ... + 18626683.

It is an arithmetic number, because the mean of its divisors is an integer number (10496577218400).

Almost surely, 2^{164404464404461} is an apocalyptic number.

It is an amenable number.

164404464404461 is a deficient number, since it is larger than the sum of its proper divisors (3540771089939).

164404464404461 is a wasteful number, since it uses less digits than its factorization.

164404464404461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22887228.

The product of its (nonzero) digits is 14155776, while the sum is 52.

The spelling of 164404464404461 in words is "one hundred sixty-four trillion, four hundred four billion, four hundred sixty-four million, four hundred four thousand, four hundred sixty-one".