90447004041984 has 288 divisors, whose sum is σ = 280264619980800. Its totient is φ = 28717501317120.

The previous prime is 90447004041971. The next prime is 90447004041997. The reversal of 90447004041984 is 48914040074409.

It is a happy number.

90447004041984 is a `hidden beast` number, since 9 + 0 + 4 + 47 + 0 + 0 + 404 + 198 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (90447004041971) and next prime (90447004041997).

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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 90447004041984.

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, 36805024 + ... + 39185504.

It is an arithmetic number, because the mean of its divisors is an integer number (973141041600).

Almost surely, 2^{90447004041984} 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 90447004041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132309990400).

90447004041984 is an abundant number, since it is smaller than the sum of its proper divisors (189817615938816).

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

90447004041984 is a wasteful number, since it uses less digits than its factorization.

90447004041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380768 (or 2380748 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 90447004041984 in words is "ninety trillion, four hundred forty-seven billion, four million, forty-one thousand, nine hundred eighty-four".