104314284017712 has 320 divisors, whose sum is σ = 314437691842560. Its totient is φ = 33046961561856.

The previous prime is 104314284017683. The next prime is 104314284017743. The reversal of 104314284017712 is 217710482413401.

104314284017712 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 428 + 40 + 177 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9599174103 + ... + 9599184969.

It is an arithmetic number, because the mean of its divisors is an integer number (982617787008).

Almost surely, 2^{104314284017712} is an apocalyptic number.

104314284017712 is a gapful number since it is divisible by the number (12) 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 104314284017712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157218845921280).

104314284017712 is an abundant number, since it is smaller than the sum of its proper divisors (210123407824848).

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

104314284017712 is a wasteful number, since it uses less digits than its factorization.

104314284017712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16997 (or 16985 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 104314284017712 in words is "one hundred four trillion, three hundred fourteen billion, two hundred eighty-four million, seventeen thousand, seven hundred twelve".