104491243584 has 672 divisors, whose sum is σ = 390534144000. Its totient is φ = 25939243008.

The previous prime is 104491243553. The next prime is 104491243601. The reversal of 104491243584 is 485342194401.

104491243584 is a `hidden beast` number, since 1 + 0 + 4 + 49 + 1 + 24 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238020837 + ... + 238021275.

It is an arithmetic number, because the mean of its divisors is an integer number (581152000).

Almost surely, 2^104491243584 is an apocalyptic number.

104491243584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104491243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195267072000).

104491243584 is an abundant number, since it is smaller than the sum of its proper divisors (286042900416).

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

104491243584 is a wasteful number, since it uses less digits than its factorization.

104491243584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 104491243584 in words is "one hundred four billion, four hundred ninety-one million, two hundred forty-three thousand, five hundred eighty-four".