164781830500 has 240 divisors, whose sum is σ = 422136200304. Its totient is φ = 56188339200.

The previous prime is 164781830459. The next prime is 164781830513. The reversal of 164781830500 is 5038187461.

It can be written as a sum of positive squares in 8 ways, for example, as 130981743396 + 33800087104 = 361914^2 + 183848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380558284 + ... + 380558716.

Almost surely, 2^164781830500 is an apocalyptic number.

164781830500 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 164781830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211068100152).

164781830500 is an abundant number, since it is smaller than the sum of its proper divisors (257354369804).

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

164781830500 is an equidigital number, since it uses as much as digits as its factorization.

164781830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 164781830500 in words is "one hundred sixty-four billion, seven hundred eighty-one million, eight hundred thirty thousand, five hundred".