14378331183129 has 27 divisors (see below), whose sum is σ = 20810569986687. Its totient is φ = 9566268635664.

The previous prime is 14378331183103. The next prime is 14378331183157. The reversal of 14378331183129 is 92138113387341.

The square root of 14378331183129 is 3791877.

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

14378331183129 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 8 + 3 + 311 + 8 + 312 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14293503455625 + 84827727504 = 3780675^2 + 291252^2 .

It is not a de Polignac number, because 14378331183129 - 2¹⁵ = 14378331150361 is a prime.

It is a super-2 number, since 2×14378331183129² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14378331183169) 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, 7701301254 + ... + 7701303120.

Almost surely, 2^{14378331183129} is an apocalyptic number.

14378331183129 is the 3791877-th square number.

14378331183129 is the 1895939-th centered octagonal number.

It is an amenable number.

14378331183129 is a deficient number, since it is larger than the sum of its proper divisors (6432238803558).

14378331183129 is an frugal number, since it uses more digits than its factorization.

14378331183129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 2547 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 14378331183129 in words is "fourteen trillion, three hundred seventy-eight billion, three hundred thirty-one million, one hundred eighty-three thousand, one hundred twenty-nine".