89069457033216 has 960 divisors, whose sum is σ = 295360050585600. Its totient is φ = 26517329510400.

The previous prime is 89069457033181. The next prime is 89069457033239. The reversal of 89069457033216 is 61233075496098.

89069457033216 is a `hidden beast` number, since 8 + 9 + 0 + 6 + 9 + 4 + 570 + 33 + 21 + 6 = 666.

It is a super-2 number, since 2×89069457033216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28928045565 + ... + 28928048643.

It is an arithmetic number, because the mean of its divisors is an integer number (307666719360).

It is a 1-persistent number, because it is pandigital, but 2⋅89069457033216 = 178138914066432 is not.

Almost surely, 2^{89069457033216} 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 89069457033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147680025292800).

89069457033216 is an abundant number, since it is smaller than the sum of its proper divisors (206290593552384).

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

89069457033216 is a wasteful number, since it uses less digits than its factorization.

89069457033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 89069457033216 in words is "eighty-nine trillion, sixty-nine billion, four hundred fifty-seven million, thirty-three thousand, two hundred sixteen".