23178129610689 has 27 divisors (see below), whose sum is σ = 33816411225129. Its totient is φ = 15298132579200.

The previous prime is 23178129610661. The next prime is 23178129610771. The reversal of 23178129610689 is 98601692187132.

The square root of 23178129610689 is 4814367.

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

23178129610689 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 8 + 1 + 2 + 9 + 610 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1868642522289 + 21309487088400 = 1366983^2 + 4616220^2 .

It is a de Polignac number, because none of the positive numbers 2^k-23178129610689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23178129610639) 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, 1458745257 + ... + 1458761145.

Almost surely, 2^{23178129610689} is an apocalyptic number.

23178129610689 is the 4814367-th square number.

23178129610689 is the 2407184-th centered octagonal number.

It is an amenable number.

23178129610689 is a deficient number, since it is larger than the sum of its proper divisors (10638281614440).

23178129610689 is an frugal number, since it uses more digits than its factorization.

23178129610689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31986 (or 15993 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 23178129610689 in words is "twenty-three trillion, one hundred seventy-eight billion, one hundred twenty-nine million, six hundred ten thousand, six hundred eighty-nine".