89188663800625 has 45 divisors (see below), whose sum is σ = 112478813085639. Its totient is φ = 70698352368000.

The previous prime is 89188663800617. The next prime is 89188663800661. The reversal of 89188663800625 is 52600836688198.

The square root of 89188663800625 is 9443975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 87179550326001 + 2009113474624 = 9336999^2 + 1417432^2 .

It is not a de Polignac number, because 89188663800625 - 2³ = 89188663800617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26679227704 + ... + 26679231046.

Almost surely, 2^{89188663800625} is an apocalyptic number.

89188663800625 is the 9443975-th square number.

89188663800625 is the 4721988-th centered octagonal number.

It is an amenable number.

89188663800625 is a deficient number, since it is larger than the sum of its proper divisors (23290149285014).

89188663800625 is an frugal number, since it uses more digits than its factorization.

89188663800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 70.

The spelling of 89188663800625 in words is "eighty-nine trillion, one hundred eighty-eight billion, six hundred sixty-three million, eight hundred thousand, six hundred twenty-five".