8193179191129 has 27 divisors (see below), whose sum is σ = 8660851036383. Its totient is φ = 7750115336832.

The previous prime is 8193179191073. The next prime is 8193179191157. The reversal of 8193179191129 is 9211919713918.

The square root of 8193179191129 is 2862373.

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., 3679050067225 + 4514129123904 = 1918085^2 + 2124648^2 .

It is not a de Polignac number, because 8193179191129 - 2¹⁷ = 8193179060057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8193179191229) 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, 6385953522 + ... + 6385954804.

Almost surely, 2^{8193179191129} is an apocalyptic number.

8193179191129 is the 2862373-rd square number.

8193179191129 is the 1431187-th centered octagonal number.

It is an amenable number.

8193179191129 is a deficient number, since it is larger than the sum of its proper divisors (467671845254).

8193179191129 is an frugal number, since it uses more digits than its factorization.

8193179191129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 1403 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 61.

The spelling of 8193179191129 in words is "eight trillion, one hundred ninety-three billion, one hundred seventy-nine million, one hundred ninety-one thousand, one hundred twenty-nine".