164346643461 has 64 divisors (see below), whose sum is σ = 297939640320. Its totient is φ = 77809904640.

The previous prime is 164346643457. The next prime is 164346643469.

164346643461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164346643461 - 2² = 164346643457 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164346643461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164346643469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109140 + ... + 583613.

It is an arithmetic number, because the mean of its divisors is an integer number (4655306880).

Almost surely, 2^164346643461 is an apocalyptic number.

164346643461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164346643461 is a deficient number, since it is larger than the sum of its proper divisors (133592996859).

164346643461 is a wasteful number, since it uses less digits than its factorization.

164346643461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692866.

The product of its digits is 2985984, while the sum is 48.

The spelling of 164346643461 in words is "one hundred sixty-four billion, three hundred forty-six million, six hundred forty-three thousand, four hundred sixty-one".