168671379456 has 544 divisors, whose sum is σ = 547352496000. Its totient is φ = 51130662912.

The previous prime is 168671379419. The next prime is 168671379473. The reversal of 168671379456 is 654973176861.

168671379456 is a `hidden beast` number, since 1 + 6 + 86 + 71 + 37 + 9 + 456 = 666.

168671379456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 168671379393 and 168671379402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974978986 + ... + 974979158.

Almost surely, 2^168671379456 is an apocalyptic number.

168671379456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168671379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273676248000).

168671379456 is an abundant number, since it is smaller than the sum of its proper divisors (378681116544).

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

168671379456 is an equidigital number, since it uses as much as digits as its factorization.

168671379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 168671379456 in words is "one hundred sixty-eight billion, six hundred seventy-one million, three hundred seventy-nine thousand, four hundred fifty-six".