861142222241168 has 20 divisors (see below), whose sum is σ = 1906814920677120. Its totient is φ = 369060952389024.

The previous prime is 861142222241167. The next prime is 861142222241173.

861142222241168 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (861142222241167) 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 3 ways as a sum of consecutive naturals, for example, 3844384920608 + ... + 3844384920831.

It is an arithmetic number, because the mean of its divisors is an integer number (95340746033856).

Almost surely, 2^{861142222241168} is an apocalyptic number.

It is an amenable number.

861142222241168 is an abundant number, since it is smaller than the sum of its proper divisors (1045672698435952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

861142222241168 is a wasteful number, since it uses less digits than its factorization.

861142222241168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688769841454 (or 7688769841448 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 50.

The spelling of 861142222241168 in words is "eight hundred sixty-one trillion, one hundred forty-two billion, two hundred twenty-two million, two hundred forty-one thousand, one hundred sixty-eight".