1842828115968 has 512 divisors, whose sum is σ = 6569018688000. Its totient is φ = 498778767360.

The previous prime is 1842828115939. The next prime is 1842828116023. The reversal of 1842828115968 is 8695118282481.

1842828115968 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 8 + 28 + 11 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 117662058 + ... + 117677718.

It is an arithmetic number, because the mean of its divisors is an integer number (12830114625).

Almost surely, 2^{1842828115968} is an apocalyptic number.

1842828115968 is a gapful number since it is divisible by the number (18) 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 1842828115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284509344000).

1842828115968 is an abundant number, since it is smaller than the sum of its proper divisors (4726190572032).

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

1842828115968 is an equidigital number, since it uses as much as digits as its factorization.

1842828115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15726 (or 15692 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 63.

The spelling of 1842828115968 in words is "one trillion, eight hundred forty-two billion, eight hundred twenty-eight million, one hundred fifteen thousand, nine hundred sixty-eight".