89648008808832 has 192 divisors, whose sum is σ = 261770521858560. Its totient is φ = 29443133045760.

The previous prime is 89648008808747. The next prime is 89648008808851. The reversal of 89648008808832 is 23880880084698.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 129130543 + ... + 129822929.

It is an arithmetic number, because the mean of its divisors is an integer number (1363388134680).

Almost surely, 2^{89648008808832} 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 89648008808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130885260929280).

89648008808832 is an abundant number, since it is smaller than the sum of its proper divisors (172122513049728).

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

89648008808832 is a wasteful number, since it uses less digits than its factorization.

89648008808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694061 (or 694046 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 89648008808832 in words is "eighty-nine trillion, six hundred forty-eight billion, eight million, eight hundred eight thousand, eight hundred thirty-two".