861466664168 has 24 divisors (see below), whose sum is σ = 1775440079490. Its totient is φ = 391575756000.

The previous prime is 861466664153. The next prime is 861466664171.

861466664168 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 785708505604 + 75758158564 = 886402^2 + 275242^2 .

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 861466664168.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444971483 + ... + 444973418.

Almost surely, 2^861466664168 is an apocalyptic number.

861466664168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

861466664168 is an abundant number, since it is smaller than the sum of its proper divisors (913973415322).

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

861466664168 is a wasteful number, since it uses less digits than its factorization.

861466664168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889944929 (or 889944914 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 62.

The spelling of 861466664168 in words is "eight hundred sixty-one billion, four hundred sixty-six million, six hundred sixty-four thousand, one hundred sixty-eight".