89381694602304 has 672 divisors, whose sum is σ = 300282099403104. Its totient is φ = 25170951536640.

The previous prime is 89381694602297. The next prime is 89381694602359. The reversal of 89381694602304 is 40320649618398.

89381694602304 is a `hidden beast` number, since 8 + 9 + 3 + 8 + 16 + 9 + 4 + 602 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 54632084387904 + 34749610214400 = 7391352^2 + 5894880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 762317124 + ... + 762434364.

It is an arithmetic number, because the mean of its divisors is an integer number (446848362207).

Almost surely, 2^{89381694602304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89381694602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150141049701552).

89381694602304 is an abundant number, since it is smaller than the sum of its proper divisors (210900404800800).

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

89381694602304 is a wasteful number, since it uses less digits than its factorization.

89381694602304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117455 (or 117442 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 89381694602304 in words is "eighty-nine trillion, three hundred eighty-one billion, six hundred ninety-four million, six hundred two thousand, three hundred four".