164513523435343 has 32 divisors (see below), whose sum is σ = 180639683840000. Its totient is φ = 149240607528960.

The previous prime is 164513523435319. The next prime is 164513523435367. The reversal of 164513523435343 is 343534325315461.

It is an interprime number because it is at equal distance from previous prime (164513523435319) and next prime (164513523435367).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164513523435343 is a prime.

It is a super-2 number, since 2×164513523435343² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164513523135343) 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 31 ways as a sum of consecutive naturals, for example, 269877508 + ... + 270486406.

It is an arithmetic number, because the mean of its divisors is an integer number (5644990120000).

Almost surely, 2^{164513523435343} is an apocalyptic number.

164513523435343 is a deficient number, since it is larger than the sum of its proper divisors (16126160404657).

164513523435343 is a wasteful number, since it uses less digits than its factorization.

164513523435343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613775.

The product of its digits is 23328000, while the sum is 52.

The spelling of 164513523435343 in words is "one hundred sixty-four trillion, five hundred thirteen billion, five hundred twenty-three million, four hundred thirty-five thousand, three hundred forty-three".