1538922124089 has 225 divisors, whose sum is σ = 2806468215837. Its totient is φ = 840307281408.

The previous prime is 1538922124081. The next prime is 1538922124139. The reversal of 1538922124089 is 9804212298351.

The square root of 1538922124089 is 1240533.

It is a perfect power (a square), and thus also a powerful number.

1538922124089 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 9 + 221 + 2 + 408 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1093955625 + 1537828168464 = 33075^2 + 1240092^2 .

It is not a de Polignac number, because 1538922124089 - 2³ = 1538922124081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1538922124081) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 15865176489 + ... + 15865176585.

Almost surely, 2^{1538922124089} is an apocalyptic number.

1538922124089 is the 1240533-rd square number.

1538922124089 is the 620267-th centered octagonal number.

It is an amenable number.

1538922124089 is a deficient number, since it is larger than the sum of its proper divisors (1267546091748).

1538922124089 is an frugal number, since it uses more digits than its factorization.

1538922124089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1538922124089 in words is "one trillion, five hundred thirty-eight billion, nine hundred twenty-two million, one hundred twenty-four thousand, eighty-nine".