1538401144329 has 27 divisors (see below), whose sum is σ = 2584976301453. Its totient is φ = 879071484312.

The previous prime is 1538401144261. The next prime is 1538401144331. The reversal of 1538401144329 is 9234411048351.

The square root of 1538401144329 is 1240323.

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

1538401144329 is a `hidden beast` number, since 1 + 538 + 40 + 1 + 1 + 44 + 32 + 9 = 666.

It is not a de Polignac number, because 1538401144329 - 2⁹ = 1538401143817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1538401144349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26017252 + ... + 26076314.

Almost surely, 2^{1538401144329} is an apocalyptic number.

1538401144329 is the 1240323-rd square number.

1538401144329 is the 620162-nd centered octagonal number.

It is an amenable number.

1538401144329 is a deficient number, since it is larger than the sum of its proper divisors (1046575157124).

1538401144329 is an frugal number, since it uses more digits than its factorization.

1538401144329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118146 (or 59073 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1538401144329 in words is "one trillion, five hundred thirty-eight billion, four hundred one million, one hundred forty-four thousand, three hundred twenty-nine".