89632546874325 has 288 divisors, whose sum is σ = 204436842704640. Its totient is φ = 36512753356800.

The previous prime is 89632546874281. The next prime is 89632546874329. The reversal of 89632546874325 is 52347864523698.

89632546874325 is a `hidden beast` number, since 8 + 9 + 6 + 3 + 2 + 546 + 8 + 74 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 89632546874325 - 2¹⁶ = 89632546808789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89632546874329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6633053769 + ... + 6633067281.

It is an arithmetic number, because the mean of its divisors is an integer number (709850148280).

Almost surely, 2^{89632546874325} is an apocalyptic number.

It is an amenable number.

89632546874325 is an abundant number, since it is smaller than the sum of its proper divisors (114804295830315).

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

89632546874325 is a wasteful number, since it uses less digits than its factorization.

89632546874325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24749 (or 24741 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 89632546874325 in words is "eighty-nine trillion, six hundred thirty-two billion, five hundred forty-six million, eight hundred seventy-four thousand, three hundred twenty-five".