1826344216320 has 576 divisors, whose sum is σ = 6403314411648. Its totient is φ = 440893440000.

The previous prime is 1826344216289. The next prime is 1826344216327. The reversal of 1826344216320 is 236124436281.

It is a super-3 number, since 3×1826344216320³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826344216327) 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 63 ways as a sum of consecutive naturals, for example, 1403799670 + ... + 1403800970.

It is an arithmetic number, because the mean of its divisors is an integer number (11116865298).

Almost surely, 2^{1826344216320} is an apocalyptic number.

1826344216320 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 1826344216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201657205824).

1826344216320 is an abundant number, since it is smaller than the sum of its proper divisors (4576970195328).

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

1826344216320 is a wasteful number, since it uses less digits than its factorization.

1826344216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 1826344216320 in words is "one trillion, eight hundred twenty-six billion, three hundred forty-four million, two hundred sixteen thousand, three hundred twenty".