104480780758848 has 2016 divisors, whose sum is σ = 365091621148800. Its totient is φ = 29392366288896.

The previous prime is 104480780758841. The next prime is 104480780758877. The reversal of 104480780758848 is 848857087084401.

104480780758848 is a `hidden beast` number, since 1 + 0 + 4 + 480 + 78 + 0 + 75 + 8 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104480780758841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 456247950798 + ... + 456247951026.

It is an arithmetic number, because the mean of its divisors is an integer number (181097034300).

Almost surely, 2^{104480780758848} is an apocalyptic number.

104480780758848 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 104480780758848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182545810574400).

104480780758848 is an abundant number, since it is smaller than the sum of its proper divisors (260610840389952).

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

104480780758848 is an equidigital number, since it uses as much as digits as its factorization.

104480780758848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 513802240, while the sum is 72.

The spelling of 104480780758848 in words is "one hundred four trillion, four hundred eighty billion, seven hundred eighty million, seven hundred fifty-eight thousand, eight hundred forty-eight".