90048871584 has 144 divisors (see below), whose sum is σ = 303498232128. Its totient is φ = 25728233472.

The previous prime is 90048871571. The next prime is 90048871609. The reversal of 90048871584 is 48517884009.

90048871584 is a `hidden beast` number, since 9 + 0 + 0 + 488 + 7 + 158 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 90048871584.

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, 772737 + ... + 881600.

It is an arithmetic number, because the mean of its divisors is an integer number (2107626612).

Almost surely, 2^90048871584 is an apocalyptic number.

It is an amenable number.

90048871584 is an abundant number, since it is smaller than the sum of its proper divisors (213449360544).

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

90048871584 is a wasteful number, since it uses less digits than its factorization.

90048871584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654369 (or 1654349 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 90048871584 in words is "ninety billion, forty-eight million, eight hundred seventy-one thousand, five hundred eighty-four".