1823808489984 has 640 divisors, whose sum is σ = 6185784084480. Its totient is φ = 525596884992.

The previous prime is 1823808489961. The next prime is 1823808490037. The reversal of 1823808489984 is 4899848083281.

1823808489984 is a `hidden beast` number, since 1 + 8 + 2 + 380 + 84 + 8 + 99 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681286854 + ... + 681289530.

It is an arithmetic number, because the mean of its divisors is an integer number (9665287632).

Almost surely, 2^{1823808489984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1823808489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092892042240).

1823808489984 is an abundant number, since it is smaller than the sum of its proper divisors (4361975594496).

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

1823808489984 is a wasteful number, since it uses less digits than its factorization.

1823808489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 1823808489984 in words is "one trillion, eight hundred twenty-three billion, eight hundred eight million, four hundred eighty-nine thousand, nine hundred eighty-four".