4580010889216 has 351 divisors, whose sum is σ = 11358240648087. Its totient is φ = 1840824975360.

The previous prime is 4580010889189. The next prime is 4580010889229. The reversal of 4580010889216 is 6129880100854.

It is a happy number.

The square root of 4580010889216 is 2140096.

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 958206054400 + 3621804834816 = 978880^2 + 1903104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16298970996 + ... + 16298971276.

Almost surely, 2^{4580010889216} is an apocalyptic number.

4580010889216 is the 2140096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4580010889216

4580010889216 is an abundant number, since it is smaller than the sum of its proper divisors (6778229758871).

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

4580010889216 is an frugal number, since it uses more digits than its factorization.

4580010889216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 4580010889216 in words is "four trillion, five hundred eighty billion, ten million, eight hundred eighty-nine thousand, two hundred sixteen".