8508959008144 has 45 divisors (see below), whose sum is σ = 19177901646507. Its totient is φ = 3646661713632.

The previous prime is 8508959008117. The next prime is 8508959008157. The reversal of 8508959008144 is 4418009598058.

The square root of 8508959008144 is 2917012.

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

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 81624247 + ... + 81728425.

Almost surely, 2^{8508959008144} is an apocalyptic number.

8508959008144 is the 2917012-nd square number.

It is an amenable number.

8508959008144 is an abundant number, since it is smaller than the sum of its proper divisors (10668942638363).

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

8508959008144 is an frugal number, since it uses more digits than its factorization.

8508959008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208380 (or 104188 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 61.

The spelling of 8508959008144 in words is "eight trillion, five hundred eight billion, nine hundred fifty-nine million, eight thousand, one hundred forty-four".