89113550267664 has 120 divisors (see below), whose sum is σ = 271347188409752. Its totient is φ = 27136878059520.

The previous prime is 89113550267617. The next prime is 89113550267867. The reversal of 89113550267664 is 46676205531198.

It is a happy number.

89113550267664 is a `hidden beast` number, since 8 + 9 + 1 + 1 + 3 + 5 + 502 + 67 + 6 + 64 = 666.

89113550267664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21561720771600 + 67551829496064 = 4643460^2 + 8218992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245196727 + ... + 245559894.

It is a 1-persistent number, because it is pandigital, but 2⋅89113550267664 = 178227100535328 is not.

Almost surely, 2^{89113550267664} is an apocalyptic number.

It is an amenable number.

89113550267664 is an abundant number, since it is smaller than the sum of its proper divisors (182233638142088).

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

89113550267664 is a wasteful number, since it uses less digits than its factorization.

89113550267664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490756745 (or 490756736 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 89113550267664 in words is "eighty-nine trillion, one hundred thirteen billion, five hundred fifty million, two hundred sixty-seven thousand, six hundred sixty-four".