89450577216 has 1008 divisors, whose sum is σ = 360467452800. Its totient is φ = 20832215040.

The previous prime is 89450577137. The next prime is 89450577313. The reversal of 89450577216 is 61277505498.

89450577216 is a `hidden beast` number, since 8 + 9 + 4 + 50 + 577 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149332885 + ... + 149333483.

It is an arithmetic number, because the mean of its divisors is an integer number (357606600).

Almost surely, 2^89450577216 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 89450577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180233726400).

89450577216 is an abundant number, since it is smaller than the sum of its proper divisors (271016875584).

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

89450577216 is a wasteful number, since it uses less digits than its factorization.

89450577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 89450 and 577216, that added together give a palindrome (666666).

The spelling of 89450577216 in words is "eighty-nine billion, four hundred fifty million, five hundred seventy-seven thousand, two hundred sixteen".