164510732241360 has 240 divisors, whose sum is σ = 554487664536000. Its totient is φ = 43710290067456.

The previous prime is 164510732241341. The next prime is 164510732241389. The reversal of 164510732241360 is 63142237015461.

164510732241360 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 10 + 7 + 32 + 241 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2503973791 + ... + 2504039489.

It is an arithmetic number, because the mean of its divisors is an integer number (2310365268900).

Almost surely, 2^{164510732241360} is an apocalyptic number.

164510732241360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164510732241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277243832268000).

164510732241360 is an abundant number, since it is smaller than the sum of its proper divisors (389976932294640).

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

164510732241360 is a wasteful number, since it uses less digits than its factorization.

164510732241360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78290 (or 78281 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 164510732241360 in words is "one hundred sixty-four trillion, five hundred ten billion, seven hundred thirty-two million, two hundred forty-one thousand, three hundred sixty".