164628118314 has 96 divisors (see below), whose sum is σ = 423725515200. Its totient is φ = 45631918080.

The previous prime is 164628118267. The next prime is 164628118411. The reversal of 164628118314 is 413811826461.

164628118314 is a `hidden beast` number, since 1 + 6 + 4 + 628 + 1 + 1 + 8 + 3 + 14 = 666.

164628118314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164628118314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645399 + ... + 863594.

It is an arithmetic number, because the mean of its divisors is an integer number (4413807450).

Almost surely, 2^164628118314 is an apocalyptic number.

164628118314 is an abundant number, since it is smaller than the sum of its proper divisors (259097396886).

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

164628118314 is a wasteful number, since it uses less digits than its factorization.

164628118314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509060 (or 1509057 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 164628118314 in words is "one hundred sixty-four billion, six hundred twenty-eight million, one hundred eighteen thousand, three hundred fourteen".