164343102456753 has 48 divisors (see below), whose sum is σ = 269464870561536. Its totient is φ = 95643395128320.

The previous prime is 164343102456737. The next prime is 164343102456769. The reversal of 164343102456753 is 357654201343461.

164343102456753 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 3 + 1 + 0 + 24 + 567 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (164343102456737) and next prime (164343102456769).

It is not a de Polignac number, because 164343102456753 - 2⁴ = 164343102456737 is a prime.

It is a super-2 number, since 2×164343102456753² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164343102456753.

It is not an unprimeable number, because it can be changed into a prime (164343102454753) 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 47 ways as a sum of consecutive naturals, for example, 332959200 + ... + 333452417.

It is an arithmetic number, because the mean of its divisors is an integer number (5613851470032).

Almost surely, 2^{164343102456753} is an apocalyptic number.

It is an amenable number.

164343102456753 is a deficient number, since it is larger than the sum of its proper divisors (105121768104783).

164343102456753 is a wasteful number, since it uses less digits than its factorization.

164343102456753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666411734 (or 666411731 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 164343102456753 in words is "one hundred sixty-four trillion, three hundred forty-three billion, one hundred two million, four hundred fifty-six thousand, seven hundred fifty-three".