164818949760 has 288 divisors, whose sum is σ = 573651507780. Its totient is φ = 43606056960.

The previous prime is 164818949747. The next prime is 164818949791. The reversal of 164818949760 is 67949818461.

164818949760 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 1 + 89 + 497 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162938166336 + 1880783424 = 403656^2 + 43368^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111288220 + ... + 111289700.

Almost surely, 2^164818949760 is an apocalyptic number.

164818949760 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 164818949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286825753890).

164818949760 is an abundant number, since it is smaller than the sum of its proper divisors (408832558020).

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

164818949760 is a wasteful number, since it uses less digits than its factorization.

164818949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 164818949760 in words is "one hundred sixty-four billion, eight hundred eighteen million, nine hundred forty-nine thousand, seven hundred sixty".