168424876816 has 45 divisors (see below), whose sum is σ = 379626356469. Its totient is φ = 72177165312.

The previous prime is 168424876801. The next prime is 168424876847. The reversal of 168424876816 is 618678424861.

The square root of 168424876816 is 410396.

It is a perfect power (a square), and thus also a powerful number.

168424876816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 167690250000 + 734626816 = 409500^2 + 27104^2 .

It is a super-3 number, since 3×168424876816³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11483760 + ... + 11498416.

Almost surely, 2^168424876816 is an apocalyptic number.

168424876816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168424876816 is the 410396-th square number.

It is an amenable number.

168424876816 is an abundant number, since it is smaller than the sum of its proper divisors (211201479653).

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

168424876816 is an frugal number, since it uses more digits than its factorization.

168424876816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29336 (or 14666 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 61.

The spelling of 168424876816 in words is "one hundred sixty-eight billion, four hundred twenty-four million, eight hundred seventy-six thousand, eight hundred sixteen".