1838083104000 has 4032 divisors, whose sum is σ = 8782662470400. Its totient is φ = 376233984000.

The previous prime is 1838083103957. The next prime is 1838083104001. The reversal of 1838083104000 is 4013808381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838083104001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 63382175986 + ... + 63382176014.

It is an arithmetic number, because the mean of its divisors is an integer number (2178239700).

Almost surely, 2^{1838083104000} is an apocalyptic number.

1838083104000 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 1838083104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391331235200).

1838083104000 is an abundant number, since it is smaller than the sum of its proper divisors (6944579366400).

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

1838083104000 is a wasteful number, since it uses less digits than its factorization.

1838083104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1838083104000 in words is "one trillion, eight hundred thirty-eight billion, eighty-three million, one hundred four thousand".