1838289868800 has 1152 divisors, whose sum is σ = 7740224593920. Its totient is φ = 373741977600.

The previous prime is 1838289868799. The next prime is 1838289868823. The reversal of 1838289868800 is 88689828381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555876747 + ... + 555880053.

It is an arithmetic number, because the mean of its divisors is an integer number (6718944960).

Almost surely, 2^{1838289868800} is an apocalyptic number.

1838289868800 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 1838289868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870112296960).

1838289868800 is an abundant number, since it is smaller than the sum of its proper divisors (5901934725120).

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

1838289868800 is a wasteful number, since it uses less digits than its factorization.

1838289868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 69.

The spelling of 1838289868800 in words is "one trillion, eight hundred thirty-eight billion, two hundred eighty-nine million, eight hundred sixty-eight thousand, eight hundred".