10188691632729 has 27 divisors (see below), whose sum is σ = 15085286426847. Its totient is φ = 6626535948000.

The previous prime is 10188691632701. The next prime is 10188691632751. The reversal of 10188691632729 is 92723619688101.

The square root of 10188691632729 is 3191973.

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

It can be written as a sum of positive squares in only one way, i.e., 490948258329 + 9697743374400 = 700677^2 + 3114120^2 .

It is not a de Polignac number, because 10188691632729 - 2⁵ = 10188691632697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10188691632029) 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, 392599704 + ... + 392625654.

Almost surely, 2^{10188691632729} is an apocalyptic number.

10188691632729 is the 3191973-rd square number.

10188691632729 is the 1595987-th centered octagonal number.

It is an amenable number.

10188691632729 is a deficient number, since it is larger than the sum of its proper divisors (4896594794118).

10188691632729 is an frugal number, since it uses more digits than its factorization.

10188691632729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51990 (or 25995 counting only the distinct ones).

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

The spelling of 10188691632729 in words is "ten trillion, one hundred eighty-eight billion, six hundred ninety-one million, six hundred thirty-two thousand, seven hundred twenty-nine".