168448834118656 has 297 divisors, whose sum is σ = 424254549475899. Its totient is φ = 66624147652608.

The previous prime is 168448834118623. The next prime is 168448834118693. The reversal of 168448834118656 is 656811438844861.

The square root of 168448834118656 is 12978784.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5541391328256 + 162907442790400 = 2354016^2 + 12763520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37794216780 + ... + 37794221236.

Almost surely, 2^{168448834118656} is an apocalyptic number.

168448834118656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168448834118656 is the 12978784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168448834118656

168448834118656 is an abundant number, since it is smaller than the sum of its proper divisors (255805715357243).

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

168448834118656 is an frugal number, since it uses more digits than its factorization.

168448834118656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 4479 counting only the distinct ones).

The product of its digits is 849346560, while the sum is 73.

The spelling of 168448834118656 in words is "one hundred sixty-eight trillion, four hundred forty-eight billion, eight hundred thirty-four million, one hundred eighteen thousand, six hundred fifty-six".