8830584856900 has 81 divisors (see below), whose sum is σ = 19847862651799. Its totient is φ = 3410099949760.

The previous prime is 8830584856823. The next prime is 8830584856921. The reversal of 8830584856900 is 96584850388.

The square root of 8830584856900 is 2971630.

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 121381166404 + 8709203690496 = 348398^2 + 2951136^2 .

It is a super-2 number, since 2×8830584856900² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 861767577 + ... + 861777823.

Almost surely, 2^{8830584856900} is an apocalyptic number.

8830584856900 is the 2971630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8830584856900

8830584856900 is an abundant number, since it is smaller than the sum of its proper divisors (11017277794899).

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

8830584856900 is an equidigital number, since it uses as much as digits as its factorization.

8830584856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20566 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 64.

Multiplying 8830584856900 by its sum of digits (64), we get a square (565157430841600 = 23773040²).

The spelling of 8830584856900 in words is "eight trillion, eight hundred thirty billion, five hundred eighty-four million, eight hundred fifty-six thousand, nine hundred".