168456444654861 has 36 divisors (see below), whose sum is σ = 268370301989244. Its totient is φ = 101746368282240.

The previous prime is 168456444654721. The next prime is 168456444654863.

It is a happy number.

168456444654861 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 5 + 64 + 4 + 465 + 48 + 61 = 666.

168456444654861 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 156817389155625 + 11639055499236 = 12522675^2 + 3411606^2 .

It is not a de Polignac number, because 168456444654861 - 2²⁷ = 168456310437133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 168456444654861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168456444654863) 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 35 ways as a sum of consecutive naturals, for example, 263655520 + ... + 264293673.

Almost surely, 2^{168456444654861} is an apocalyptic number.

168456444654861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

168456444654861 is a deficient number, since it is larger than the sum of its proper divisors (99913857334383).

168456444654861 is a wasteful number, since it uses less digits than its factorization.

168456444654861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527949514 (or 527949500 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 72.

The spelling of 168456444654861 in words is "one hundred sixty-eight trillion, four hundred fifty-six billion, four hundred forty-four million, six hundred fifty-four thousand, eight hundred sixty-one".