89448081469056 has 192 divisors, whose sum is σ = 262451679015240. Its totient is φ = 29233535385600.

The previous prime is 89448081468979. The next prime is 89448081469073. The reversal of 89448081469056 is 65096418084498.

89448081469056 is a `hidden beast` number, since 8 + 9 + 4 + 4 + 80 + 81 + 469 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2738760206400 + 86709321262656 = 1654920^2 + 9311784^2 .

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

It is a super-2 number, since 2×89448081469056² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19961776 + ... + 24028496.

Almost surely, 2^{89448081469056} 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 89448081469056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131225839507620).

89448081469056 is an abundant number, since it is smaller than the sum of its proper divisors (173003597546184).

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

89448081469056 is a wasteful number, since it uses less digits than its factorization.

89448081469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067115 (or 4067100 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 89448081469056 in words is "eighty-nine trillion, four hundred forty-eight billion, eighty-one million, four hundred sixty-nine thousand, fifty-six".