1846480896000 has 768 divisors, whose sum is σ = 7171021100880. Its totient is φ = 454400409600.

The previous prime is 1846480895971. The next prime is 1846480896019. The reversal of 1846480896000 is 6980846481.

1846480896000 is a `hidden beast` number, since 1 + 84 + 6 + 480 + 89 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 192643743744 + 1653837152256 = 438912^2 + 1286016^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 479230074 + ... + 479233926.

Almost surely, 2^{1846480896000} is an apocalyptic number.

1846480896000 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 1846480896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585510550440).

1846480896000 is an abundant number, since it is smaller than the sum of its proper divisors (5324540204880).

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

1846480896000 is an equidigital number, since it uses as much as digits as its factorization.

1846480896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1846480896000 in words is "one trillion, eight hundred forty-six billion, four hundred eighty million, eight hundred ninety-six thousand".