104208416928 has 288 divisors, whose sum is σ = 385531840512. Its totient is φ = 25890163200.

The previous prime is 104208416911. The next prime is 104208416971. The reversal of 104208416928 is 829614802401.

104208416928 is a `hidden beast` number, since 1 + 0 + 4 + 208 + 416 + 9 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407893 + ... + 612203.

It is an arithmetic number, because the mean of its divisors is an integer number (1338652224).

Almost surely, 2^104208416928 is an apocalyptic number.

104208416928 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 104208416928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192765920256).

104208416928 is an abundant number, since it is smaller than the sum of its proper divisors (281323423584).

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

104208416928 is a wasteful number, since it uses less digits than its factorization.

104208416928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204368 (or 204357 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 104208416928 in words is "one hundred four billion, two hundred eight million, four hundred sixteen thousand, nine hundred twenty-eight".