8802347265625 has 81 divisors (see below), whose sum is σ = 11354423385751. Its totient is φ = 6823812500000.

The previous prime is 8802347265623. The next prime is 8802347265637. The reversal of 8802347265625 is 5265627432088.

The square root of 8802347265625 is 2966875.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4563739236681 + 4238608028944 = 2136291^2 + 2058788^2 .

It is not a de Polignac number, because 8802347265625 - 2¹ = 8802347265623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8802347265625.

It is not an unprimeable number, because it can be changed into a prime (8802347265623) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 87151953075 + ... + 87151953175.

Almost surely, 2^{8802347265625} is an apocalyptic number.

8802347265625 is the 2966875-th square number.

8802347265625 is the 1483438-th centered octagonal number.

It is an amenable number.

8802347265625 is a deficient number, since it is larger than the sum of its proper divisors (2552076120126).

8802347265625 is an frugal number, since it uses more digits than its factorization.

8802347265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 8802347265625 in words is "eight trillion, eight hundred two billion, three hundred forty-seven million, two hundred sixty-five thousand, six hundred twenty-five".