1984946895360 has 1280 divisors, whose sum is σ = 8771333598720. Its totient is φ = 418020065280.

The previous prime is 1984946895331. The next prime is 1984946895361. The reversal of 1984946895360 is 635986494891.

1984946895360 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 9 + 4 + 6 + 89 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1984946895361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 168024814 + ... + 168036626.

It is an arithmetic number, because the mean of its divisors is an integer number (6852604374).

Almost surely, 2^{1984946895360} is an apocalyptic number.

1984946895360 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 1984946895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385666799360).

1984946895360 is an abundant number, since it is smaller than the sum of its proper divisors (6786386703360).

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

1984946895360 is a wasteful number, since it uses less digits than its factorization.

1984946895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 1984946895360 in words is "one trillion, nine hundred eighty-four billion, nine hundred forty-six million, eight hundred ninety-five thousand, three hundred sixty".