171992141999769 has 192 divisors, whose sum is σ = 292415271622656. Its totient is φ = 89115868348416.

The previous prime is 171992141999767. The next prime is 171992141999851. The reversal of 171992141999769 is 967999141299171.

It is a happy number.

It is not a de Polignac number, because 171992141999769 - 2¹ = 171992141999767 is a prime.

It is a super-2 number, since 2×171992141999769² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 171992141999691 and 171992141999700.

It is not an unprimeable number, because it can be changed into a prime (171992141999761) 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 191 ways as a sum of consecutive naturals, for example, 31809159864 + ... + 31809165270.

It is an arithmetic number, because the mean of its divisors is an integer number (1522996206368).

Almost surely, 2^{171992141999769} is an apocalyptic number.

It is an amenable number.

171992141999769 is a deficient number, since it is larger than the sum of its proper divisors (120423129622887).

171992141999769 is a wasteful number, since it uses less digits than its factorization.

171992141999769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6777 counting only the distinct ones).

The product of its digits is 1249949232, while the sum is 84.

The spelling of 171992141999769 in words is "one hundred seventy-one trillion, nine hundred ninety-two billion, one hundred forty-one million, nine hundred ninety-nine thousand, seven hundred sixty-nine".