1828144811808 has 768 divisors, whose sum is σ = 6375075840000. Its totient is φ = 509279726592.

The previous prime is 1828144811747. The next prime is 1828144811813. The reversal of 1828144811808 is 8081184418281.

1828144811808 is a `hidden beast` number, since 1 + 8 + 2 + 81 + 4 + 481 + 1 + 80 + 8 = 666.

It is a super-2 number, since 2×1828144811808² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3753890541 + ... + 3753891027.

It is an arithmetic number, because the mean of its divisors is an integer number (8300880000).

Almost surely, 2^{1828144811808} is an apocalyptic number.

1828144811808 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 1828144811808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187537920000).

1828144811808 is an abundant number, since it is smaller than the sum of its proper divisors (4546931028192).

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

1828144811808 is a wasteful number, since it uses less digits than its factorization.

1828144811808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 54.

The spelling of 1828144811808 in words is "one trillion, eight hundred twenty-eight billion, one hundred forty-four million, eight hundred eleven thousand, eight hundred eight".