1938382848000 has 816 divisors, whose sum is σ = 7119508286592. Its totient is φ = 507248640000.

The previous prime is 1938382847981. The next prime is 1938382848001. The reversal of 1938382848000 is 8482838391.

It is a happy number.

1938382848000 is a `hidden beast` number, since 1 + 9 + 3 + 83 + 82 + 8 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×1938382848000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938382848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4497407785 + ... + 4497408215.

Almost surely, 2^{1938382848000} is an apocalyptic number.

1938382848000 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 1938382848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559754143296).

1938382848000 is an abundant number, since it is smaller than the sum of its proper divisors (5181125438592).

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

1938382848000 is an frugal number, since it uses more digits than its factorization.

1938382848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1938382848000 in words is "one trillion, nine hundred thirty-eight billion, three hundred eighty-two million, eight hundred forty-eight thousand".