19034660814129 has 45 divisors (see below), whose sum is σ = 28147701886733. Its totient is φ = 12395236319856.

The previous prime is 19034660814119. The next prime is 19034660814187. The reversal of 19034660814129 is 92141806643091.

The square root of 19034660814129 is 4362873.

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

19034660814129 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 4 + 6 + 608 + 1 + 4 + 1 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3258830079729 + 15775830734400 = 1805223^2 + 3971880^2 .

It is not a de Polignac number, because 19034660814129 - 2¹⁷ = 19034660683057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19034660814119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 121239877719 + ... + 121239877875.

Almost surely, 2^{19034660814129} is an apocalyptic number.

19034660814129 is the 4362873-rd square number.

19034660814129 is the 2181437-th centered octagonal number.

It is an amenable number.

19034660814129 is a deficient number, since it is larger than the sum of its proper divisors (9113041072604).

19034660814129 is an frugal number, since it uses more digits than its factorization.

19034660814129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 19034660814129 in words is "nineteen trillion, thirty-four billion, six hundred sixty million, eight hundred fourteen thousand, one hundred twenty-nine".