1938144704928 has 96 divisors (see below), whose sum is σ = 5268289118400. Its totient is φ = 623151599616.

The previous prime is 1938144704891. The next prime is 1938144704941. The reversal of 1938144704928 is 8294074418391.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464075 + ... + 3154037.

It is an arithmetic number, because the mean of its divisors is an integer number (54878011650).

Almost surely, 2^{1938144704928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938144704928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634144559200).

1938144704928 is an abundant number, since it is smaller than the sum of its proper divisors (3330144413472).

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

1938144704928 is a wasteful number, since it uses less digits than its factorization.

1938144704928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691014 (or 691006 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 1938144704928 in words is "one trillion, nine hundred thirty-eight billion, one hundred forty-four million, seven hundred four thousand, nine hundred twenty-eight".