164053350461 has 32 divisors (see below), whose sum is σ = 220383072000. Its totient is φ = 117938465280.

The previous prime is 164053350421. The next prime is 164053350467.

164053350461 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 164053350461 - 2¹⁰ = 164053349437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164053350467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908905 + ... + 1992993.

It is an arithmetic number, because the mean of its divisors is an integer number (6886971000).

Almost surely, 2^164053350461 is an apocalyptic number.

164053350461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164053350461 is a deficient number, since it is larger than the sum of its proper divisors (56329721539).

164053350461 is a wasteful number, since it uses less digits than its factorization.

164053350461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86069.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 164053350461 in words is "one hundred sixty-four billion, fifty-three million, three hundred fifty thousand, four hundred sixty-one".