6938129845089 has 9 divisors (see below), whose sum is σ = 10021754523729. Its totient is φ = 4625414628660.

The previous prime is 6938129845081. The next prime is 6938129845121. The reversal of 6938129845089 is 9805489218396.

The square root of 6938129845089 is 2634033.

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

6938129845089 is a `hidden beast` number, since 6 + 9 + 3 + 8 + 1 + 2 + 98 + 450 + 89 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6938129845089 - 2³ = 6938129845081 is a prime.

It is a super-2 number, since 2×6938129845089² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6938129845081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7463094 + ... + 8341104.

Almost surely, 2^{6938129845089} is an apocalyptic number.

6938129845089 is the 2634033-rd square number.

6938129845089 is the 1317017-th centered octagonal number.

It is an amenable number.

6938129845089 is a deficient number, since it is larger than the sum of its proper divisors (3083624678640).

6938129845089 is an frugal number, since it uses more digits than its factorization.

6938129845089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756028 (or 878014 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 6938129845089 in words is "six trillion, nine hundred thirty-eight billion, one hundred twenty-nine million, eight hundred forty-five thousand, eighty-nine".