104493312000 has 2304 divisors, whose sum is σ = 510238310400. Its totient is φ = 19906560000.

The previous prime is 104493311999. The next prime is 104493312013. The reversal of 104493312000 is 213394401.

104493312000 is a `hidden beast` number, since 10 + 449 + 3 + 3 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3370751985 + ... + 3370752015.

It is an arithmetic number, because the mean of its divisors is an integer number (221457600).

Almost surely, 2^104493312000 is an apocalyptic number.

104493312000 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 104493312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255119155200).

104493312000 is an abundant number, since it is smaller than the sum of its proper divisors (405744998400).

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

104493312000 is a wasteful number, since it uses less digits than its factorization.

104493312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 104493312000 in words is "one hundred four billion, four hundred ninety-three million, three hundred twelve thousand".