171992141999768 has 256 divisors, whose sum is σ = 341499783905280. Its totient is φ = 81125452800000.

The previous prime is 171992141999767. The next prime is 171992141999851. The reversal of 171992141999768 is 867999141299171.

It is a super-2 number, since 2×171992141999768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171992141999761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149428445993 + ... + 149428447143.

It is an arithmetic number, because the mean of its divisors is an integer number (1333983530880).

Almost surely, 2^{171992141999768} is an apocalyptic number.

It is an amenable number.

171992141999768 is a deficient number, since it is larger than the sum of its proper divisors (169507641905512).

171992141999768 is a wasteful number, since it uses less digits than its factorization.

171992141999768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its digits is 1111065984, while the sum is 83.

The spelling of 171992141999768 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-eight".