164610183002500 has 135 divisors (see below), whose sum is σ = 362809947283707. Its totient is φ = 65328561792000.

The previous prime is 164610183002453. The next prime is 164610183002501. The reversal of 164610183002500 is 5200381016461.

It is a happy number.

The square root of 164610183002500 is 12830050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 76980514013316 + 87629668989184 = 8773854^2 + 9361072^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164610183002500.

It is not an unprimeable number, because it can be changed into a prime (164610183002501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87885841564 + ... + 87885843436.

Almost surely, 2^{164610183002500} is an apocalyptic number.

164610183002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164610183002500 is the 12830050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164610183002500

164610183002500 is an abundant number, since it is smaller than the sum of its proper divisors (198199764281207).

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

164610183002500 is an frugal number, since it uses more digits than its factorization.

164610183002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 164610183002500 in words is "one hundred sixty-four trillion, six hundred ten billion, one hundred eighty-three million, two thousand, five hundred".