164016330624 has 64 divisors (see below), whose sum is σ = 484075986000. Its totient is φ = 54672109056.

The previous prime is 164016330619. The next prime is 164016330629. The reversal of 164016330624 is 426033610461.

164016330624 is a `hidden beast` number, since 1 + 640 + 1 + 6 + 3 + 3 + 0 + 6 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164016330619) and next prime (164016330629).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×164016330624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164016330629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23725759 + ... + 23732670.

Almost surely, 2^164016330624 is an apocalyptic number.

It is an amenable number.

164016330624 is an abundant number, since it is smaller than the sum of its proper divisors (320059655376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164016330624 is an equidigital number, since it uses as much as digits as its factorization.

164016330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47458452 (or 47458434 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 164016330624 in words is "one hundred sixty-four billion, sixteen million, three hundred thirty thousand, six hundred twenty-four".