104646850560 has 768 divisors, whose sum is σ = 429287040000. Its totient is φ = 23686152192.

The previous prime is 104646850549. The next prime is 104646850571. The reversal of 104646850560 is 65058646401.

104646850560 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 6 + 85 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (104646850549) and next prime (104646850571).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269014846 + ... + 269015234.

It is an arithmetic number, because the mean of its divisors is an integer number (558967500).

Almost surely, 2^104646850560 is an apocalyptic number.

104646850560 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 104646850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520000).

104646850560 is an abundant number, since it is smaller than the sum of its proper divisors (324640189440).

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

104646850560 is a wasteful number, since it uses less digits than its factorization.

104646850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 104646850560 in words is "one hundred four billion, six hundred forty-six million, eight hundred fifty thousand, five hundred sixty".