1938448512 has 576 divisors, whose sum is σ = 7676585280. Its totient is φ = 453427200.

The previous prime is 1938448451. The next prime is 1938448531. The reversal of 1938448512 is 2158448391.

1938448512 is a `hidden beast` number, since 1 + 93 + 8 + 4 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47279212 + ... + 47279252.

It is an arithmetic number, because the mean of its divisors is an integer number (13327405).

Almost surely, 2^1938448512 is an apocalyptic number.

1938448512 is a gapful number since it is divisible by the number (12) 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 1938448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838292640).

1938448512 is an abundant number, since it is smaller than the sum of its proper divisors (5738136768).

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

1938448512 is a wasteful number, since it uses less digits than its factorization.

1938448512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1938448512 is about 44027.8152081159. The cubic root of 1938448512 is about 1246.8611405398.

It can be divided in two parts, 19384 and 48512, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 1938448512 in words is "one billion, nine hundred thirty-eight million, four hundred forty-eight thousand, five hundred twelve".