1823838000768 has 448 divisors, whose sum is σ = 6286561756800. Its totient is φ = 516018345984.

The previous prime is 1823838000767. The next prime is 1823838000779. The reversal of 1823838000768 is 8670008383281.

1823838000768 is a `hidden beast` number, since 182 + 383 + 80 + 0 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (1823838000767) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67264398 + ... + 67291506.

Almost surely, 2^{1823838000768} is an apocalyptic number.

1823838000768 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 1823838000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143280878400).

1823838000768 is an abundant number, since it is smaller than the sum of its proper divisors (4462723756032).

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

1823838000768 is an equidigital number, since it uses as much as digits as its factorization.

1823838000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27251 (or 27224 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1823838000768 in words is "one trillion, eight hundred twenty-three billion, eight hundred thirty-eight million, seven hundred sixty-eight", and thus it is an aban number.