164664141046353 has 12 divisors (see below), whose sum is σ = 256144219405620. Its totient is φ = 101331779105376.

The previous prime is 164664141046331. The next prime is 164664141046381. The reversal of 164664141046353 is 353640141466461.

164664141046353 is a `hidden beast` number, since 1 + 6 + 4 + 66 + 414 + 104 + 63 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11242796768784 + 153421344277569 = 3353028^2 + 12386337^2 .

It is not a de Polignac number, because 164664141046353 - 2⁴⁰ = 163564629418577 is a prime.

It is a super-3 number, since 3×164664141046353³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164664141046353.

It is not an unprimeable number, because it can be changed into a prime (164664141046553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703692910338 + ... + 703692910571.

It is an arithmetic number, because the mean of its divisors is an integer number (21345351617135).

Almost surely, 2^{164664141046353} is an apocalyptic number.

164664141046353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164664141046353 is a deficient number, since it is larger than the sum of its proper divisors (91480078359267).

164664141046353 is a wasteful number, since it uses less digits than its factorization.

164664141046353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407385820928 (or 1407385820925 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 164664141046353 in words is "one hundred sixty-four trillion, six hundred sixty-four billion, one hundred forty-one million, forty-six thousand, three hundred fifty-three".