104606114816000 has 448 divisors, whose sum is σ = 300030421227264. Its totient is φ = 35666362368000.

The previous prime is 104606114815999. The next prime is 104606114816011. The reversal of 104606114816000 is 618411606401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297367687 + ... + 1297448313.

It is an arithmetic number, because the mean of its divisors is an integer number (669710761668).

Almost surely, 2^{104606114816000} is an apocalyptic number.

104606114816000 is a gapful number since it is divisible by the number (10) 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 104606114816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150015210613632).

104606114816000 is an abundant number, since it is smaller than the sum of its proper divisors (195424306411264).

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

104606114816000 is an frugal number, since it uses more digits than its factorization.

104606114816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80856 (or 80822 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 104606114816000 in words is "one hundred four trillion, six hundred six billion, one hundred fourteen million, eight hundred sixteen thousand".