89440094016 has 336 divisors, whose sum is σ = 316088572800. Its totient is φ = 23546474496.

The previous prime is 89440093961. The next prime is 89440094033. The reversal of 89440094016 is 61049004498.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38734270 + ... + 38736578.

It is an arithmetic number, because the mean of its divisors is an integer number (940739800).

Almost surely, 2^89440094016 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 89440094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158044286400).

89440094016 is an abundant number, since it is smaller than the sum of its proper divisors (226648478784).

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

89440094016 is a wasteful number, since it uses less digits than its factorization.

89440094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 89440094016 in words is "eighty-nine billion, four hundred forty million, ninety-four thousand, sixteen".