164486684461 has 16 divisors (see below), whose sum is σ = 188920512000. Its totient is φ = 141635962800.

The previous prime is 164486684443. The next prime is 164486684507.

It is a happy number.

164486684461 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 164486684461 - 2⁵ = 164486684429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164486684396 and 164486684405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164486684161) 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, 1055506 + ... + 1201276.

It is an arithmetic number, because the mean of its divisors is an integer number (11807532000).

Almost surely, 2^164486684461 is an apocalyptic number.

164486684461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164486684461 is a deficient number, since it is larger than the sum of its proper divisors (24433827539).

164486684461 is a wasteful number, since it uses less digits than its factorization.

164486684461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151200.

The product of its digits is 21233664, while the sum is 58.

The spelling of 164486684461 in words is "one hundred sixty-four billion, four hundred eighty-six million, six hundred eighty-four thousand, four hundred sixty-one".