104508467206848 has 672 divisors, whose sum is σ = 329529859364160. Its totient is φ = 32789767127040.

The previous prime is 104508467206841. The next prime is 104508467206867. The reversal of 104508467206848 is 848602764805401.

It is a happy number.

104508467206848 is a `hidden beast` number, since 1 + 0 + 4 + 50 + 8 + 467 + 20 + 68 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (104508467206841) 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 95 ways as a sum of consecutive naturals, for example, 3108781336 + ... + 3108814952.

It is an arithmetic number, because the mean of its divisors is an integer number (490371814530).

Almost surely, 2^{104508467206848} is an apocalyptic number.

104508467206848 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 104508467206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164764929682080).

104508467206848 is an abundant number, since it is smaller than the sum of its proper divisors (225021392157312).

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

104508467206848 is a wasteful number, since it uses less digits than its factorization.

104508467206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33847 (or 33825 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 104508467206848 in words is "one hundred four trillion, five hundred eight billion, four hundred sixty-seven million, two hundred six thousand, eight hundred forty-eight".