104517040088448 has 288 divisors, whose sum is σ = 336179208530880. Its totient is φ = 31121697484800.

The previous prime is 104517040088443. The next prime is 104517040088473. The reversal of 104517040088448 is 844880040715401.

104517040088448 is a `hidden beast` number, since 1 + 0 + 4 + 51 + 70 + 4 + 0 + 0 + 88 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104517040088394 and 104517040088403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104517040088443) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2623443 + ... + 14694098.

It is an arithmetic number, because the mean of its divisors is an integer number (1167288918510).

Almost surely, 2^{104517040088448} is an apocalyptic number.

104517040088448 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 104517040088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168089604265440).

104517040088448 is an abundant number, since it is smaller than the sum of its proper divisors (231662168442432).

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

104517040088448 is a wasteful number, since it uses less digits than its factorization.

104517040088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17317618 (or 17317590 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 104517040088448 in words is "one hundred four trillion, five hundred seventeen billion, forty million, eighty-eight thousand, four hundred forty-eight".