1822428647424 has 1872 divisors, whose sum is σ = 7178555704320. Its totient is φ = 456497233920.

The previous prime is 1822428647423. The next prime is 1822428647443. The reversal of 1822428647424 is 4247468242281.

1822428647424 is a `hidden beast` number, since 1 + 82 + 24 + 2 + 86 + 47 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822428647423) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 23068717017 + ... + 23068717095.

It is an arithmetic number, because the mean of its divisors is an integer number (3834698560).

Almost surely, 2^{1822428647424} is an apocalyptic number.

1822428647424 is a gapful number since it is divisible by the number (14) 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 1822428647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589277852160).

1822428647424 is an abundant number, since it is smaller than the sum of its proper divisors (5356127056896).

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

1822428647424 is an equidigital number, since it uses as much as digits as its factorization.

1822428647424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 1822428647424 in words is "one trillion, eight hundred twenty-two billion, four hundred twenty-eight million, six hundred forty-seven thousand, four hundred twenty-four".