8820448565776 has 135 divisors (see below), whose sum is σ = 18111413570733. Its totient is φ = 4161219914880.

The previous prime is 8820448565759. The next prime is 8820448565783. The reversal of 8820448565776 is 6775658440288.

The square root of 8820448565776 is 2969924.

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

It can be written as a sum of positive squares in only one way, i.e., 774012848400 + 8046435717376 = 879780^2 + 2836624^2 .

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, 15835634490 + ... + 15835635046.

Almost surely, 2^{8820448565776} is an apocalyptic number.

8820448565776 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8820448565776 is the 2969924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820448565776

8820448565776 is an abundant number, since it is smaller than the sum of its proper divisors (9290965004957).

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

8820448565776 is an frugal number, since it uses more digits than its factorization.

8820448565776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 70.

The spelling of 8820448565776 in words is "eight trillion, eight hundred twenty billion, four hundred forty-eight million, five hundred sixty-five thousand, seven hundred seventy-six".