164383337664 has 168 divisors, whose sum is σ = 579908070560. Its totient is φ = 43353833472.

The previous prime is 164383337663. The next prime is 164383337669. The reversal of 164383337664 is 466733383461.

164383337664 is a `hidden beast` number, since 164 + 383 + 33 + 76 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164383337664.

It is not an unprimeable number, because it can be changed into a prime (164383337663) 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 23 ways as a sum of consecutive naturals, for example, 1515649 + ... + 1620480.

Almost surely, 2^164383337664 is an apocalyptic number.

164383337664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164383337664 is an abundant number, since it is smaller than the sum of its proper divisors (415524732896).

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

164383337664 is a wasteful number, since it uses less digits than its factorization.

164383337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136167 (or 3136154 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 164383337664 in words is "one hundred sixty-four billion, three hundred eighty-three million, three hundred thirty-seven thousand, six hundred sixty-four".