104114675808 has 576 divisors, whose sum is σ = 364453689600. Its totient is φ = 28822210560.

The previous prime is 104114675807. The next prime is 104114675813. The reversal of 104114675808 is 808576411401.

104114675808 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 1 + 4 + 67 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104114675807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121204083 + ... + 121204941.

It is an arithmetic number, because the mean of its divisors is an integer number (632732100).

Almost surely, 2^104114675808 is an apocalyptic number.

104114675808 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 104114675808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182226844800).

104114675808 is an abundant number, since it is smaller than the sum of its proper divisors (260339013792).

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

104114675808 is a wasteful number, since it uses less digits than its factorization.

104114675808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 104114675808 in words is "one hundred four billion, one hundred fourteen million, six hundred seventy-five thousand, eight hundred eight".