8144357084224 has 63 divisors (see below), whose sum is σ = 16739328029151. Its totient is φ = 3931438963200.

The previous prime is 8144357084173. The next prime is 8144357084249. The reversal of 8144357084224 is 4224807534418.

The square root of 8144357084224 is 2853832.

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

It can be written as a sum of positive squares in 4 ways, for example, as 127757634624 + 8016599449600 = 357432^2 + 2831360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 662082874 + ... + 662095174.

Almost surely, 2^{8144357084224} is an apocalyptic number.

8144357084224 is the 2853832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144357084224

8144357084224 is an abundant number, since it is smaller than the sum of its proper divisors (8594970944927).

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

8144357084224 is an frugal number, since it uses more digits than its factorization.

8144357084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24672 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 52.

The spelling of 8144357084224 in words is "eight trillion, one hundred forty-four billion, three hundred fifty-seven million, eighty-four thousand, two hundred twenty-four".