164843348461 has 32 divisors (see below), whose sum is σ = 189679656960. Its totient is φ = 141792552000.

The previous prime is 164843348459. The next prime is 164843348491.

164843348461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164843348461 - 2¹ = 164843348459 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164843348399 and 164843348408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164843348491) 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, 36768526 + ... + 36773008.

It is an arithmetic number, because the mean of its divisors is an integer number (5927489280).

Almost surely, 2^164843348461 is an apocalyptic number.

164843348461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164843348461 is a deficient number, since it is larger than the sum of its proper divisors (24836308499).

164843348461 is a wasteful number, since it uses less digits than its factorization.

164843348461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057.

The product of its digits is 5308416, while the sum is 52.

The spelling of 164843348461 in words is "one hundred sixty-four billion, eight hundred forty-three million, three hundred forty-eight thousand, four hundred sixty-one".