1828769381824 has 896 divisors, whose sum is σ = 5117690511360. Its totient is φ = 632282112000.

The previous prime is 1828769381821. The next prime is 1828769381837. The reversal of 1828769381824 is 4281839678281.

It is a self number, because there is not a number n which added to its sum of digits gives 1828769381824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828769381821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14399758849 + ... + 14399758975.

It is an arithmetic number, because the mean of its divisors is an integer number (5711708160).

Almost surely, 2^{1828769381824} is an apocalyptic number.

1828769381824 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 1828769381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558845255680).

1828769381824 is an abundant number, since it is smaller than the sum of its proper divisors (3288921129536).

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

1828769381824 is a wasteful number, since it uses less digits than its factorization.

1828769381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 67.

The spelling of 1828769381824 in words is "one trillion, eight hundred twenty-eight billion, seven hundred sixty-nine million, three hundred eighty-one thousand, eight hundred twenty-four".