104716846483200 has 3456 divisors, whose sum is σ = 486148884480000. Its totient is φ = 21514452664320.

The previous prime is 104716846483111. The next prime is 104716846483213. The reversal of 104716846483200 is 2384648617401.

104716846483200 is a `hidden beast` number, since 1 + 0 + 47 + 1 + 68 + 46 + 483 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39322885069 + ... + 39322887731.

It is an arithmetic number, because the mean of its divisors is an integer number (140668080000).

Almost surely, 2^{104716846483200} is an apocalyptic number.

104716846483200 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 104716846483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243074442240000).

104716846483200 is an abundant number, since it is smaller than the sum of its proper divisors (381432037996800).

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

104716846483200 is a wasteful number, since it uses less digits than its factorization.

104716846483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 104716846483200 in words is "one hundred four trillion, seven hundred sixteen billion, eight hundred forty-six million, four hundred eighty-three thousand, two hundred".