164093286556441 has 16 divisors (see below), whose sum is σ = 181035616870080. Its totient is φ = 147488664209920.

The previous prime is 164093286556411. The next prime is 164093286556469. The reversal of 164093286556441 is 144655682390461.

It is not a de Polignac number, because 164093286556441 - 2¹⁹ = 164093286032153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164093286556411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7041681 + ... + 19436353.

It is an arithmetic number, because the mean of its divisors is an integer number (11314726054380).

Almost surely, 2^{164093286556441} is an apocalyptic number.

164093286556441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164093286556441 is a deficient number, since it is larger than the sum of its proper divisors (16942330313639).

164093286556441 is a wasteful number, since it uses less digits than its factorization.

164093286556441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408296.

The product of its (nonzero) digits is 149299200, while the sum is 64.

The spelling of 164093286556441 in words is "one hundred sixty-four trillion, ninety-three billion, two hundred eighty-six million, five hundred fifty-six thousand, four hundred forty-one".