104501464320000 has 1920 divisors, whose sum is σ = 404372611843200. Its totient is φ = 23710924800000.

The previous prime is 104501464319947. The next prime is 104501464320013. The reversal of 104501464320000 is 23464105401.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 104501464320000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193163519730 + ... + 193163520270.

It is an arithmetic number, because the mean of its divisors is an integer number (210610735335).

Almost surely, 2^{104501464320000} is an apocalyptic number.

104501464320000 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 104501464320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202186305921600).

104501464320000 is an abundant number, since it is smaller than the sum of its proper divisors (299871147523200).

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

104501464320000 is a wasteful number, since it uses less digits than its factorization.

104501464320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 104501464320000 in words is "one hundred four trillion, five hundred one billion, four hundred sixty-four million, three hundred twenty thousand".