1938321824544 has 108 divisors (see below), whose sum is σ = 6412037868054. Its totient is φ = 553806231552.

The previous prime is 1938321824471. The next prime is 1938321824567. The reversal of 1938321824544 is 4454281238391.

It is a happy number.

1938321824544 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 3 + 2 + 182 + 454 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1671880032144 + 266441792400 = 1293012^2 + 516180^2 .

It is a super-2 number, since 2×1938321824544² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68662257 + ... + 68690480.

Almost surely, 2^{1938321824544} is an apocalyptic number.

1938321824544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1938321824544 is an abundant number, since it is smaller than the sum of its proper divisors (4473716043510).

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

1938321824544 is a wasteful number, since it uses less digits than its factorization.

1938321824544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137352767 (or 137352749 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 1938321824544 in words is "one trillion, nine hundred thirty-eight billion, three hundred twenty-one million, eight hundred twenty-four thousand, five hundred forty-four".