829940101156161 has 16 divisors (see below), whose sum is σ = 1258134864803520. Its totient is φ = 540426112380000.

The previous prime is 829940101156151. The next prime is 829940101156181. The reversal of 829940101156161 is 161651101049928.

829940101156161 is a `hidden beast` number, since 8 + 2 + 9 + 9 + 4 + 0 + 1 + 0 + 1 + 15 + 616 + 1 = 666.

It is not a de Polignac number, because 829940101156161 - 2¹¹ = 829940101154113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829940101156098 and 829940101156107.

It is not an unprimeable number, because it can be changed into a prime (829940101156121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357424676340 + ... + 357424678661.

It is an arithmetic number, because the mean of its divisors is an integer number (78633429050220).

Almost surely, 2^{829940101156161} is an apocalyptic number.

It is an amenable number.

829940101156161 is a deficient number, since it is larger than the sum of its proper divisors (428194763647359).

829940101156161 is a wasteful number, since it uses less digits than its factorization.

829940101156161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714849355053 (or 714849355047 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 829940101156161 in words is "eight hundred twenty-nine trillion, nine hundred forty billion, one hundred one million, one hundred fifty-six thousand, one hundred sixty-one".