164512181215461 has 32 divisors (see below), whose sum is σ = 233841159272448. Its totient is φ = 102656177553600.

The previous prime is 164512181215439. The next prime is 164512181215469.

164512181215461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164512181215461 - 2¹⁷ = 164512181084389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164512181215461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164512181215469) 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, 117135006 + ... + 118531151.

It is an arithmetic number, because the mean of its divisors is an integer number (7307536227264).

Almost surely, 2^{164512181215461} is an apocalyptic number.

It is an amenable number.

164512181215461 is a deficient number, since it is larger than the sum of its proper divisors (69328978056987).

164512181215461 is a wasteful number, since it uses less digits than its factorization.

164512181215461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235666401.

The product of its digits is 460800, while the sum is 48.

The spelling of 164512181215461 in words is "one hundred sixty-four trillion, five hundred twelve billion, one hundred eighty-one million, two hundred fifteen thousand, four hundred sixty-one".