89489628244224 has 288 divisors, whose sum is σ = 301757546845440. Its totient is φ = 25915548008448.

The previous prime is 89489628244213. The next prime is 89489628244243. The reversal of 89489628244224 is 42244282698498.

89489628244224 is a `hidden beast` number, since 8 + 9 + 4 + 89 + 6 + 2 + 82 + 442 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27764292 + ... + 30819395.

It is an arithmetic number, because the mean of its divisors is an integer number (1047769259880).

Almost surely, 2^{89489628244224} is an apocalyptic number.

It is an amenable number.

89489628244224 is an abundant number, since it is smaller than the sum of its proper divisors (212267918601216).

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

89489628244224 is a wasteful number, since it uses less digits than its factorization.

89489628244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58583742 (or 58583722 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 72.

The spelling of 89489628244224 in words is "eighty-nine trillion, four hundred eighty-nine billion, six hundred twenty-eight million, two hundred forty-four thousand, two hundred twenty-four".