1938371148000 has 1152 divisors, whose sum is σ = 8186675567616. Its totient is φ = 441241344000.

The previous prime is 1938371147987. The next prime is 1938371148001. The reversal of 1938371148000 is 8411738391.

1938371148000 is a `hidden beast` number, since 1 + 93 + 83 + 7 + 1 + 1 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938371148001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2360987590 + ... + 2360988410.

It is an arithmetic number, because the mean of its divisors is an integer number (7106489208).

Almost surely, 2^{1938371148000} is an apocalyptic number.

1938371148000 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 1938371148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093337783808).

1938371148000 is an abundant number, since it is smaller than the sum of its proper divisors (6248304419616).

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

1938371148000 is an equidigital number, since it uses as much as digits as its factorization.

1938371148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1938371148000 in words is "one trillion, nine hundred thirty-eight billion, three hundred seventy-one million, one hundred forty-eight thousand".