89067821414208 has 448 divisors, whose sum is σ = 305344746362880. Its totient is φ = 22251303936000.

The previous prime is 89067821414161. The next prime is 89067821414233. The reversal of 89067821414208 is 80241412876098.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×89067821414208² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4442053783 + ... + 4442073833.

It is an arithmetic number, because the mean of its divisors is an integer number (681573094560).

Almost surely, 2^{89067821414208} 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 89067821414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152672373181440).

89067821414208 is an abundant number, since it is smaller than the sum of its proper divisors (216276924948672).

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

89067821414208 is a wasteful number, since it uses less digits than its factorization.

89067821414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33486 (or 33476 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 89067821414208 in words is "eighty-nine trillion, sixty-seven billion, eight hundred twenty-one million, four hundred fourteen thousand, two hundred eight".