1538314128512 has 72 divisors (see below), whose sum is σ = 3565182343905. Its totient is φ = 659235386880.

The previous prime is 1538314128509. The next prime is 1538314128521. The reversal of 1538314128512 is 2158214138351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 915818376256 + 622495752256 = 956984^2 + 788984^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=877016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98217962 + ... + 98233622.

Almost surely, 2^{1538314128512} is an apocalyptic number.

It is an amenable number.

1538314128512 is an abundant number, since it is smaller than the sum of its proper divisors (2026868215393).

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

1538314128512 is an frugal number, since it uses more digits than its factorization.

1538314128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31350 (or 15670 counting only the distinct ones).

The product of its digits is 230400, while the sum is 44.

The spelling of 1538314128512 in words is "one trillion, five hundred thirty-eight billion, three hundred fourteen million, one hundred twenty-eight thousand, five hundred twelve".