104585614848 has 720 divisors, whose sum is σ = 369730286640. Its totient is φ = 28178841600.

The previous prime is 104585614799. The next prime is 104585614853. The reversal of 104585614848 is 848416585401.

104585614848 is a `hidden beast` number, since 1 + 0 + 4 + 585 + 6 + 14 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104585614794 and 104585614803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248421678 + ... + 248422098.

It is an arithmetic number, because the mean of its divisors is an integer number (513514287).

Almost surely, 2^104585614848 is an apocalyptic number.

104585614848 is a gapful number since it is divisible by the number (18) 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 104585614848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184865143320).

104585614848 is an abundant number, since it is smaller than the sum of its proper divisors (265144671792).

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

104585614848 is a wasteful number, since it uses less digits than its factorization.

104585614848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 104585614848 in words is "one hundred four billion, five hundred eighty-five million, six hundred fourteen thousand, eight hundred forty-eight".