89649433577088 has 1536 divisors, whose sum is σ = 339128294400000. Its totient is φ = 22817227530240.

The previous prime is 89649433577083. The next prime is 89649433577317. The reversal of 89649433577088 is 88077533494698.

It is a happy number.

89649433577088 is a `hidden beast` number, since 8 + 9 + 6 + 4 + 9 + 4 + 33 + 577 + 0 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89649433576998 and 89649433577016.

It is not an unprimeable number, because it can be changed into a prime (89649433577083) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32143933198 + ... + 32143935986.

It is an arithmetic number, because the mean of its divisors is an integer number (220786650000).

Almost surely, 2^{89649433577088} is an apocalyptic number.

89649433577088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89649433577088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169564147200000).

89649433577088 is an abundant number, since it is smaller than the sum of its proper divisors (249478860822912).

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

89649433577088 is a wasteful number, since it uses less digits than its factorization.

89649433577088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 89649433577088 in words is "eighty-nine trillion, six hundred forty-nine billion, four hundred thirty-three million, five hundred seventy-seven thousand, eighty-eight".