161767767161 has 32 divisors (see below), whose sum is σ = 219349299456. Its totient is φ = 115204320000.

The previous prime is 161767767157. The next prime is 161767767167.

161767767161 is nontrivially palindromic in base 10.

161767767161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 161767767161 - 2² = 161767767157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 161767767097 and 161767767106.

It is not an unprimeable number, because it can be changed into a prime (161767767167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698930 + ... + 901131.

It is an arithmetic number, because the mean of its divisors is an integer number (6854665608).

Almost surely, 2^161767767161 is an apocalyptic number.

161767767161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161767767161 is a deficient number, since it is larger than the sum of its proper divisors (57581532295).

161767767161 is a wasteful number, since it uses less digits than its factorization.

161767767161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600193.

The product of its digits is 3111696, while the sum is 56.

The spelling of 161767767161 in words is "one hundred sixty-one billion, seven hundred sixty-seven million, seven hundred sixty-seven thousand, one hundred sixty-one".