164013330330 has 80 divisors (see below), whose sum is σ = 451770142824. Its totient is φ = 42670126080.

The previous prime is 164013330329. The next prime is 164013330331. The reversal of 164013330330 is 33033310461.

164013330330 is a `hidden beast` number, since 1 + 640 + 13 + 3 + 3 + 0 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164013330329) and next prime (164013330331).

It can be written as a sum of positive squares in 4 ways, for example, as 35209144881 + 128804185449 = 187641^2 + 358893^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164013330294 and 164013330303.

It is not an unprimeable number, because it can be changed into a prime (164013330331) 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 39 ways as a sum of consecutive naturals, for example, 2436127 + ... + 2502546.

Almost surely, 2^164013330330 is an apocalyptic number.

164013330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164013330330 is an abundant number, since it is smaller than the sum of its proper divisors (287756812494).

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

164013330330 is a wasteful number, since it uses less digits than its factorization.

164013330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938733 (or 4938724 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 164013330330 its reverse (33033310461), we get a palindrome (197046640791).

The spelling of 164013330330 in words is "one hundred sixty-four billion, thirteen million, three hundred thirty thousand, three hundred thirty".