164305372240 has 40 divisors (see below), whose sum is σ = 382288476168. Its totient is φ = 65674237440.

The previous prime is 164305372229. The next prime is 164305372243. The reversal of 164305372240 is 42273503461.

It can be written as a sum of positive squares in 4 ways, for example, as 90247369744 + 74058002496 = 300412^2 + 272136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 164305372240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164305372243) 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, 638091 + ... + 857770.

Almost surely, 2^164305372240 is an apocalyptic number.

164305372240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164305372240 is an abundant number, since it is smaller than the sum of its proper divisors (217983103928).

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

164305372240 is a wasteful number, since it uses less digits than its factorization.

164305372240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497247 (or 1497241 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 164305372240 in words is "one hundred sixty-four billion, three hundred five million, three hundred seventy-two thousand, two hundred forty".