861446767644168 has 64 divisors (see below), whose sum is σ = 2212009633920000. Its totient is φ = 279364538483712.

The previous prime is 861446767644143. The next prime is 861446767644191.

861446767644168 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 861446767644093 and 861446767644102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30457393 + ... + 51483456.

It is an arithmetic number, because the mean of its divisors is an integer number (34562650530000).

Almost surely, 2^{861446767644168} is an apocalyptic number.

It is an amenable number.

861446767644168 is an abundant number, since it is smaller than the sum of its proper divisors (1350562866275832).

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

861446767644168 is a wasteful number, since it uses less digits than its factorization.

861446767644168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81952734 (or 81952730 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 78.

The spelling of 861446767644168 in words is "eight hundred sixty-one trillion, four hundred forty-six billion, seven hundred sixty-seven million, six hundred forty-four thousand, one hundred sixty-eight".