164634222436461 has 16 divisors (see below), whose sum is σ = 245312393104320. Its totient is φ = 109121719685040.

The previous prime is 164634222436451. The next prime is 164634222436469.

164634222436461 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 342 + 224 + 36 + 46 + 1 = 666.

164634222436461 is nontrivially palindromic in base 10.

164634222436461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164634222436461 - 2²⁵ = 164634188882029 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 164634222436398 and 164634222436407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164634222436469) 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, 17623012075 + ... + 17623021416.

It is an arithmetic number, because the mean of its divisors is an integer number (15332024569020).

Almost surely, 2^{164634222436461} is an apocalyptic number.

It is an amenable number.

164634222436461 is a deficient number, since it is larger than the sum of its proper divisors (80678170667859).

164634222436461 is a wasteful number, since it uses less digits than its factorization.

164634222436461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35246033673 (or 35246033667 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 164634222436461 in words is "one hundred sixty-four trillion, six hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-six thousand, four hundred sixty-one".