10084638599424 has 189 divisors, whose sum is σ = 30185125875219. Its totient is φ = 3361088908800.

The previous prime is 10084638599383. The next prime is 10084638599443. The reversal of 10084638599424 is 42499583648001.

The square root of 10084638599424 is 3175632.

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

10084638599424 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 6 + 38 + 599 + 4 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1371869349 + ... + 1371876699.

Almost surely, 2^{10084638599424} is an apocalyptic number.

10084638599424 is the 3175632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084638599424

10084638599424 is an abundant number, since it is smaller than the sum of its proper divisors (20100487275795).

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

10084638599424 is an frugal number, since it uses more digits than its factorization.

10084638599424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14736 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 10084638599424 in words is "ten trillion, eighty-four billion, six hundred thirty-eight million, five hundred ninety-nine thousand, four hundred twenty-four".