164410266325601 has 32 divisors (see below), whose sum is σ = 173981924676000. Its totient is φ = 155144130527232.

The previous prime is 164410266325589. The next prime is 164410266325621. The reversal of 164410266325601 is 106523662014461.

164410266325601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 107011762933201 + 57398503392400 = 10344649^2 + 7576180^2 .

It is a cyclic number.

It is not a de Polignac number, because 164410266325601 - 2³⁰ = 164409192583777 is a prime.

It is a super-3 number, since 3×164410266325601³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164410266325621) 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, 199122545 + ... + 199946513.

It is an arithmetic number, because the mean of its divisors is an integer number (5436935146125).

Almost surely, 2^{164410266325601} is an apocalyptic number.

It is an amenable number.

164410266325601 is a deficient number, since it is larger than the sum of its proper divisors (9571658350399).

164410266325601 is an equidigital number, since it uses as much as digits as its factorization.

164410266325601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824981.

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 164410266325601 in words is "one hundred sixty-four trillion, four hundred ten billion, two hundred sixty-six million, three hundred twenty-five thousand, six hundred one".