89494816428900 has 405 divisors, whose sum is σ = 291953870956209. Its totient is φ = 23714300067840.

The previous prime is 89494816428869. The next prime is 89494816428917. The reversal of 89494816428900 is 982461849498.

The square root of 89494816428900 is 9460170.

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

89494816428900 is a `hidden beast` number, since 8 + 9 + 4 + 9 + 481 + 64 + 2 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4295861441316 + 85198954987584 = 2072646^2 + 9230328^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 218813731896 + ... + 218813732304.

Almost surely, 2^{89494816428900} is an apocalyptic number.

89494816428900 is the 9460170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89494816428900

89494816428900 is an abundant number, since it is smaller than the sum of its proper divisors (202459054527309).

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

89494816428900 is an equidigital number, since it uses as much as digits as its factorization.

89494816428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 89494816428900 in words is "eighty-nine trillion, four hundred ninety-four billion, eight hundred sixteen million, four hundred twenty-eight thousand, nine hundred".